International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
https://ijnaa.semnan.ac.ir/
Sat, 25 Jan 2020 03:50:38 +0100FeedCreatorInternational Journal of Nonlinear Analysis and Applications
https://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
https://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 +0100Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions ...
https://ijnaa.semnan.ac.ir/article_3677_483.html
In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.Tue, 31 Dec 2019 20:30:00 +0100New Hermite-Hadamard type inequalities on fractal set
https://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 +0100Face Recognition by Cognitive Discriminant Features
https://ijnaa.semnan.ac.ir/article_4205_483.html
Face recognition is still an active pattern analysis topic. Faces have already been treated as objects or textures, but human face recognition system takes a different approach in face recognition. People refer to faces by their most discriminant features. People usually describe faces in sentences like ``She's snub-nosed'' or ``he's got long nose'' or ``he's got round eyes'' and so like. These most discriminant features have been extracted by comparing a face with average face formed in one's mind. We have mathematically formulated the approach and placed importance upon the most discriminant features. We have explained feature processing and classification parts in details. We also explained the train and test phases of the proposed algorithm. We have compared the proposed classification part with 1-NN classifier to show the strength of the algorithm and reported the results. We have also compared the whole proposed algorithm with a well-known face recognition method, Eigenfaces and achieved promising results in different cases.Tue, 31 Dec 2019 20:30:00 +0100Efficiency of Target Location Scenarios in the Multi-Transmitter Multi-Receiver Passive Radar
https://ijnaa.semnan.ac.ir/article_4206_483.html
Multi-transmitter multi-receiver passive radar, which locates target in the surveillance area by the reflected signals of the available opportunistic transmitter from the target, is of interest in many applications. In this paper, we investigate different signal processing scenarios in multi-transmitter multi-receiver passive radar. These scenarios include decentralized processing of reference and surveillance signals, decentralized processing of surveillance signals, and centralized processing of surveillance signals that have different advantages, disadvantages, and requirements. A variety of possible measurements including TDOA, GROA, AOA and their combinations are presented under different scenarios. The Cramer Rao lower band (CRLB) is presented for different signal processing scenarios for the error of the target localization. The efficiency of the target localization for different signal processing scenarios and types of measurements has been investigated by the CRLB. As shown in the simulation results, the combined use of the measurements is always better than their single use. Also centralized and decentralized processing of surveillance signals, by arranging the receiver sensors in the far distances, can have better efficiency than close distance arrangements. Tue, 31 Dec 2019 20:30:00 +0100Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
https://ijnaa.semnan.ac.ir/article_4209_483.html
In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-2}u_{t}=|u|^{q(x)-2}u. We proved the blow up of solutions in finite time by using modified energy functional method.Wed, 22 Jan 2020 20:30:00 +0100Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of ...
https://ijnaa.semnan.ac.ir/article_4210_483.html
In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings.Tue, 31 Dec 2019 20:30:00 +0100Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition ...
https://ijnaa.semnan.ac.ir/article_3676_483.html
In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.Tue, 31 Dec 2019 20:30:00 +0100Investigation of Game Between Cells in Occurrence of Genetic Mutations Using Evolutionary Game ...
https://ijnaa.semnan.ac.ir/article_4211_483.html
In this paper, two games that play a role in creating a cancer tumor and suppression are studied using evolutionary game theory and its different modes are analyzed. The first game is the competition between a cancer cell and a healthy cell to receive food through the blood. In the second game, the interaction between the two oncogenes Ras and Myc is examined for cellular deformationWed, 22 Jan 2020 20:30:00 +0100Stability for comprehensive classes of analytic functions
https://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 +0100Some results on second transpose of a dual valued derivation
https://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
https://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 +0100Common Fixed Point Theorems with Applications to Theoretical Computer Science
https://ijnaa.semnan.ac.ir/article_3674_0.html
Mon, 11 Mar 2019 20:30:00 +0100Fractals of Generalized -Hutchinson Operator
https://ijnaa.semnan.ac.ir/article_3675_0.html
Mon, 11 Mar 2019 20:30:00 +0100Fixed points for Banach and Kannan contractions in G-metric spaces endowed with a graph
https://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
https://ijnaa.semnan.ac.ir/article_3724_0.html
Sat, 16 Mar 2019 20:30:00 +0100The Essential of Applying Nonlinear-Analysis to Validate Experiments, Assessing Superior Brain ...
https://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
https://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 +0100ON THE SYSTEM OF DOUBLE EQUATIONS WITH THREE UNKNOWNS d+ay+bx+cx^2 =z^2 and y+z=x^2
https://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
https://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