International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
Sun, 22 Sep 2019 11:09:31 +0100FeedCreatorInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
Feed provided by International Journal of Nonlinear Analysis and Applications. Click to visit.A common fixed point theorem via measure of noncompactness
http://ijnaa.semnan.ac.ir/article_2318_0.html
In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.Mon, 20 Feb 2017 20:30:00 +0100Numerical algorithm for discrete barrier option pricing in a Black-Scholes model with ...
http://ijnaa.semnan.ac.ir/article_3490_392.html
In this article, we propose a numerical algorithm for computing price of discrete single and double barrier option under the emph{Black-Scholes} model. In virtue of some general transformations, the partial differential equations of option pricing in different monitoring dates are converted into simple diffusion equations. The present method is fast compared to alternative numerical methods presented in previous papers.Fri, 30 Nov 2018 20:30:00 +0100New Hermite-Hadamard type inequalities on fractal set
http://ijnaa.semnan.ac.ir/article_3097_0.html
In this study we present the new Hermite-Hadamard type inequality for functions which are h-convex on fractal set ℝ^{α} (0<α≤1) of real line numbers. Then we provide the special cases of the result using different type of convex mappings.Sat, 11 Aug 2018 19:30:00 +0100Symmetric Rogers-Hölder's inequalities on diamond-α calculus
http://ijnaa.semnan.ac.ir/article_3491_392.html
We present symmetric Rogers--Hölder's inequalities on time scales when $frac{1}{p}+frac{1}{q}+frac{1}{r}=0$ and $frac{r}{p}+frac{r}{q}$ is not necessarily equal to $1$ where $p,$ $q$ and $r$ are nonzero real numbers.Fri, 30 Nov 2018 20:30:00 +0100Nonlinear dynamic of the multicellular chopper
http://ijnaa.semnan.ac.ir/article_3492_392.html
In this paper, the dynamics of multicellular chopper are considered. The model is described by a continuous time three--dimensional autonomous system. Some basic dynamical properties such as Poincar'e mapping, power spectrum and chaotic behaviors are studied. Analysis results show that this system has complex dynamics with some interesting characteristics.Wed, 05 Dec 2018 20:30:00 +0100An existence result for n^{th}-order nonlinear fractional differential equations
http://ijnaa.semnan.ac.ir/article_3493_392.html
In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.Tue, 11 Dec 2018 20:30:00 +0100Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral ...
http://ijnaa.semnan.ac.ir/article_3494_392.html
The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo-spectral collocation in the sense of least square method. Furthermore, the method usages Picard iteration and Newton method to treat nonlinear term in order to obtain unique and multiple solutions of the problem, respectively.Thu, 13 Dec 2018 20:30:00 +0100Coefficient bounds for a new class of univalent functions involving Salagean operator and the ...
http://ijnaa.semnan.ac.ir/article_3495_392.html
We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.Sun, 09 Dec 2018 20:30:00 +0100Generalized multivalued $F$-contractions on non-complete metric spaces
http://ijnaa.semnan.ac.ir/article_3496_392.html
In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation.Mon, 10 Dec 2018 20:30:00 +0100Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered ...
http://ijnaa.semnan.ac.ir/article_3503_392.html
We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of existence and uniqueness of solutions for a boundary value problem for certain second order ODE and the respective integral equation.Thu, 13 Dec 2018 20:30:00 +0100A class of certain properties of approximately n-multiplicative maps between locally ...
http://ijnaa.semnan.ac.ir/article_3510_392.html
‎We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps‎. ‎‎W‎e prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous‎. ‎We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals‎.Wed, 12 Dec 2018 20:30:00 +0100Strict fixed points of \'{C}iri\'{c}-generalized weak quasicontractive multi-valued mappings of ...
http://ijnaa.semnan.ac.ir/article_3511_392.html
‎‎Many authors such as Amini-Harandi‎, ‎Rezapour ‎et al., ‎Kadelburg ‎et al.‎‎, ‎have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}‎, ‎1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version‎. In this paper‎, ‎we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-generalized weak quasi-contraction mappings of integral type‎. ‎We consider a necessary and sufficient condition on such mappings which guarantees the existence of unique strict fixed point of such mappings. Our result is a partial positive answer for the mentioned problem ‎ which has remained open for many years‎. Also, we give an strict fixed point result of ‎$‎alpha‎$-‎$‎psi‎$‎-quasicontractive multi-valued mappings of integral type. Our results generalize and improve many existing results on multi-valued mappings in literature. ‎Moreover‎, ‎some examples are presented to support our new class of multi-valued contractions.Fri, 14 Dec 2018 20:30:00 +0100Stability for comprehensive classes of analytic functions
http://ijnaa.semnan.ac.ir/article_3513_0.html
In this paper the problem of stability for comprehensive classes of analytic functions in $T_{delta}$- ‎neighborhoods are studied‎. ‎Also the lower and upper bounds of radius of stability are obtained‎.Mon, 17 Dec 2018 20:30:00 +0100An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
http://ijnaa.semnan.ac.ir/article_3512_392.html
In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.Sun, 16 Dec 2018 20:30:00 +0100Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
http://ijnaa.semnan.ac.ir/article_3514_392.html
In the present research paper we derive results about existence and uniqueness of solutions and Ulam--Hyers and Rassias stabilities of nonlinear Volterra--Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of obtained results and few illustrative examples.Sun, 16 Dec 2018 20:30:00 +0100Some notes on ``Common fixed point of two $R$-weakly commuting mappings in $b$-metric spaces"
http://ijnaa.semnan.ac.ir/article_3522_392.html
Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the continuity of the $b$-metric, but unfortunately, there exists a gap in the proof of the main result. In this note, we point out and fill such gap by making some remarks and offering a new proof for the result. It should be mentioned that our proofs for some key assertions of the main result are new and somewhat different from the original ones. In addition, we also present a result to check the continuity of the $b$-metrics which is found effective and workable when applied to some examples.Mon, 17 Dec 2018 20:30:00 +0100Coupled fixed points of generalized Kanann contraction and its applications
http://ijnaa.semnan.ac.ir/article_3523_392.html
The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a mixed $leq$-solution.Tue, 18 Dec 2018 20:30:00 +0100Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces
http://ijnaa.semnan.ac.ir/article_3524_392.html
In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.Thu, 20 Dec 2018 20:30:00 +0100On a $k$-extension of the Nielsen's $\beta$-Function
http://ijnaa.semnan.ac.ir/article_3525_392.html
Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $beta$-function, and further study some properties and inequalities of the new function.Sun, 23 Dec 2018 20:30:00 +0100Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order
http://ijnaa.semnan.ac.ir/article_3526_392.html
This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the local fractional integral equations.Mon, 24 Dec 2018 20:30:00 +0100A new algorithm for computing SAGBI bases up to an arbitrary degree
http://ijnaa.semnan.ac.ir/article_3530_392.html
We present a new algorithm for computing a SAGBI basis up to an arbitrary degree for a subalgebra generated by a set of homogeneous polynomials. Our idea is based on linear algebra methods which cause a low level of complexity and computational cost. We then use it to solve the membership problem in subalgebras.Tue, 25 Dec 2018 20:30:00 +0100Certain subclass of $p$-valent meromorphic Bazilevi\'{c} functions defined by fractional ...
http://ijnaa.semnan.ac.ir/article_3531_392.html
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the functions belonging to this class and for some of its subclasses.Thu, 27 Dec 2018 20:30:00 +0100A nonlinear multi objective model for the product portfolio optimization: An integer programming
http://ijnaa.semnan.ac.ir/article_3528_392.html
Optimization of the product portfolio has been recognized as a critical problem in industry, management, economy and so on. It aims at the selection of an optimal mix of the products to offer in the target market. As a probability function, reliability is an essential objective of the problem which linear models often fail to evaluate it. Here, we develop a multiobjective integer nonlinear constraint model for the problem. Our model provides opportunities to consider the knowledge transferring cost and the environmental effects, as nowadays important concerns of the world, in addition to the classical factors operational cost and reliability. Also, the model is designed in a way to simultaneously optimize the input materials and the products. Although being to some extent complicated, the model can be efficiently solved by the metaheuristic algorithms. Finally, we make some numerical experiments on a simulated test problem.Fri, 28 Dec 2018 20:30:00 +0100Some results on second transpose of a dual valued derivation
http://ijnaa.semnan.ac.ir/article_3532_0.html
Let $A$ be a Banach algebra and $X$ be an arbitrary Banach $A$-module. In this paper, we study the second transpose of derivations with value in dual Banach $A$-module $X^{*}.$ Indeed, for a continuous derivation $D:Alongrightarrow X^{*}$ we obtain a necessary and sufficient condition such that the bounded linear map $Lambdacirc D^{primeprime}:A^{**}longrightarrow X^{***}$ to be a derivation, where $Lambda$ is composition of restriction and canonical injection maps. This characterization generalizes some well known results in cite{aef}.Tue, 25 Dec 2018 20:30:00 +0100Characterizations of the set containment with star-shaped constraints
http://ijnaa.semnan.ac.ir/article_3533_0.html
In this paper, we first give a separation theorem for a closed star-shaped set at the origin and a point outside it in terms of separation by an upper semi-continuous and super-linear function, and also, we introduce a $nu$-star-shaped-conjugation. By using this facts, we present characterizations of the set containment with infinite star-shaped constraints defined by weak inequalities. Next, we give characterizations of the set containment with infinite evenly radiant constraints defined by strict or weak inequalities. Finally, we give a characterization of the set containment with an upper semi-continuous and radiant constraint, in a reverse star-shaped set, defined by a co-star-shaped constraint. These results have many applications in Mathematical Economics, in particular, in Utility Theory.Tue, 25 Dec 2018 20:30:00 +0100Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems
http://ijnaa.semnan.ac.ir/article_3549_0.html
In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.Mon, 07 Jan 2019 20:30:00 +0100Common Fixed Point Theorems with Applications to Theoretical Computer Science
http://ijnaa.semnan.ac.ir/article_3674_0.html
Mon, 11 Mar 2019 20:30:00 +0100Fractals of Generalized -Hutchinson Operator
http://ijnaa.semnan.ac.ir/article_3675_0.html
Mon, 11 Mar 2019 20:30:00 +0100Simultaneous generalizations of known xed point theorems for a Meir-Keeler type condition with ...
http://ijnaa.semnan.ac.ir/article_3676_0.html
Mon, 11 Mar 2019 20:30:00 +0100Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions ...
http://ijnaa.semnan.ac.ir/article_3677_0.html
Mon, 11 Mar 2019 20:30:00 +0100Fixed points for Banach and Kannan contractions in G-metric spaces endowed with a graph
http://ijnaa.semnan.ac.ir/article_3678_0.html
Mon, 11 Mar 2019 20:30:00 +0100(G: )Ciric-Reich-Rus contraction on metric space endowed with a graph
http://ijnaa.semnan.ac.ir/article_3724_0.html
Sat, 16 Mar 2019 20:30:00 +0100JENSEN’S INEQUALITY FOR GG-CONVEX FUNCTIONS
http://ijnaa.semnan.ac.ir/article_3725_0.html
In this paper, we obtain Jensen’s inequality for GG-convex functions. Also, we get in- equalities alike to Hermite-Hadamard inequality for GG-convex functions. Some examples are given.Sat, 16 Mar 2019 20:30:00 +0100The Essential of Applying Nonlinear-Analysis to Validate Experiments, Assessing Superior Brain ...
http://ijnaa.semnan.ac.ir/article_3946_0.html
In the last decades, nonlinear methods have been applied, in a large number of studies from the computational neuroscience field, to describe neuronal implementations of superior brain functions. Superior brain functions, called cognitive functions, control our behavior. Therefore, they should be assessed through evaluating individual performances in the experiments, using standard tasks, which represent the condition that cognitive functions are required. The mathematical models of cognitive functions, in neuronal implementation level, are based on real condition of standard cognitive tasks. However, it is not validated whether applied task conditions are appropriate to represent neuronal implementation of a cognitive function. Hence, as a case-study, we used a developed Bayesian Model to assess whether GoNoGo task is valid to be applied for neural measurement and modeling neural implementation of Inhibitory Control (IC). As GoNoGo is the most common task used for neural measurement of impaired cognitive function (IC) in ADHD, we fit the model to behavioral data of two groups of children/adolescents with and without ADHD. The results demonstrated that the model could simulated the behavioral data; and also the model parameters could differentiate the groups significantly. However, neural implementation of IC may not be represented through the rewarded condition of GoNoGo task. We concluded that before modeling neural implementation of cognitive functions, it is essential to apply nonlinear methods to validate current behavioral experiments computationally; or to design new model-based experiments for using in neural measurementsSat, 13 Jul 2019 19:30:00 +0100Investigating the dynamics of Lotka-Volterra model with disease in the prey and predator species
http://ijnaa.semnan.ac.ir/article_3947_0.html
In this paper, a predator-prey model with logistic growth rate in the prey population was proposed. It included an SIS infection in the prey and predator population. The stability of the positive equilibrium point, the existence of Hopf and transcritical bifurcation with parameter $a$ were investigated, where $a$ was regarded as predation rate. It wasfound that when the parameter $a$ passed through a critical value, stability changed and Hopf bifurcation occured. Biologically, the population is positive and bounded. In the present article, it was also shown that the model was bounded and that it had the positive solution. Moreover, the current researchers came to the conclusion that althought the disease was present in the system, none of the species would be extinct. In other words, the system was persistent. Important thresholds, R_{0}, R_{1} and R_{2}, were identified in the study. This theoretical study indicated that under certain conditions of R_{0}, R_{1} and R_{2}, the disease remained in the system or disappeared.Sat, 13 Jul 2019 19:30:00 +0100Classification of EEG-based motor imagery BCI by using ECOC
http://ijnaa.semnan.ac.ir/article_3954_0.html
AbstractAccuracy in identifying the subjects’ intentions for moving their different limbs from EEG signals is regarded as an important factor in the studies related to BCI. In fact, the complexity of motor-imagination and low amount of signal-to-noise ratio for EEG signal makes this identification as a difficult task. In order to overcome these complexities, many techniques such as various feature extraction methods, learning algorithms, and classifier schemes have been developed in this regard. However, conducting more research is necessary for improvement. The present study aimed to use an ensemble learning approach to improve the performance of MI-BCI systems. Therefore, filter bank common spatial pattern (FBCSP), as a well-known feature extraction method, was used to produce separable features from EEG signals. Accordingly, error correcting output codes (ECOC) was applied on several learning algorithms to classify four classes of motor imagery tasks. The proposed ECOC ensemble technique was tested on the data set 2a from BCI competition IV. Based on the results, the ECOC can lead to an improvement by using the naive Bayesian parzen window algorithm, compared to the winner algorithm of BCI competition IV, which is superior to other selected state of the art algorithms.Sun, 28 Jul 2019 19:30:00 +0100Some types of soft paracompactness via soft ideals
http://ijnaa.semnan.ac.ir/article_3956_0.html
In this paper, we introduce the soft I-paracompact spaces and the soft I-S-paracompact spaces. First, we investigate the relationships between these spaces and soft paracompact spaces. Also, we give some fundamental properties of these spaces. Finally, we prove that soft I-S-paracompact spaces are invariant under perfect mappings.Tue, 30 Jul 2019 19:30:00 +0100ON THE SYSTEM OF DOUBLE EQUATIONS WITH THREE UNKNOWNS d+ay+bx+cx^2 =z^2 and y+z=x^2
http://ijnaa.semnan.ac.ir/article_3957_0.html
The system of double equations with three unknowns given by d+ay+bx+cx^2 = z^2 , y+z=x^2 is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.Tue, 30 Jul 2019 19:30:00 +0100A Nonmonotone Hestenes ans Stiefel Conjugate Gradient Algorithm for Nonsmooth Convex Optimization
http://ijnaa.semnan.ac.ir/article_3958_0.html
Here, we propose a practical method for solving nonsmooth convex problems by using conjugate gradient type methods. We present a modified HS conjugate gradient method, as one of the most remarkable methods to solve smooth and large-scale optimization problems. In the case that we have a nonsmooth convex problem, by way of the Moreau-Yosida regularization, we convert the nonsmooth objective function to a smooth function and then we use our method, by making use of a nonmonotone line search, for solving a nonsmooth convex optimization problem. We prove that our algorithm converges to an optimal solution under standard condition. Our algorithm inherits the performance of HS conjugate gradient method.Tue, 30 Jul 2019 19:30:00 +0100