International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
https://ijnaa.semnan.ac.ir/
Sun, 08 Dec 2019 21:14:58 +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 +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 +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 +0100Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control
https://ijnaa.semnan.ac.ir/article_4067_466.html
In this paper, based on a fractional order Bergman minimal model, a robust strategy for regulationof blood glucose in type 1 diabetic patients is presented. Glucose/insulin concentration in the patientbody is controlled through the injection under the patients skin by the pump. Many various con-trollers for this system have been proposed in the literature. However, most of them have considerthe system as an integer order system. Moreover, the majority of the presented methods suffer froman important disadvantage that is long settling time of the control system. Thus, the contribution ofthis paper in comparison with previous related works is presenting a fractional back-stepping slidingmode control that considerably reduces the required time for glucose to reach its desired level. Dueto the sliding mode design, the proposed controller is robust against external disturbances. Due tothe back-stepping design, convergence of each state variable of the system to its desired value canbe guaranteed separately. Simulation results verify the satisfactory performance of the proposedcontroller.Sat, 30 Nov 2019 20:30:00 +0100Connected Component Based Word Spotting on Persian Handwritten image documents
https://ijnaa.semnan.ac.ir/article_4125_466.html
Word spotting is to make searchable unindexed image documents by locating word/words in a doc-ument image, given a query word. This problem is challenging, mainly due to the large numberof word classes with very small inter-class and substantial intra-class distances. In this paper, asegmentation-based word spotting method is presented for multi-writer Persian handwritten doc-uments using attribute-based classication and label-embedding. For this purpose, a hierarchicalframework is proposed, in which at rst, the candidate are selected based on connected compo-nents(CCs) sequence. Then, the query word is segmented to constructor CCs, and similar CCs countin the candidate region of document are selected based on their distances to the CCs count of thequery word. As a result, the candidate regions are extracted. In the nal phase, the query wordis located only in the candidate regions of the document. A well known Persian handwritten textdataset, namely FTH, is chosen as a benchmark for the presented method. The results shows thatthe proposed method outperforms the state-of-the-art methods, 81.02 percent for unseen word classretrieval.Sat, 30 Nov 2019 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 +0100Simultaneous generalizations of known xed point theorems for a Meir-Keeler type condition with ...
https://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 ...
https://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
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 +0100Classification of EEG-based motor imagery BCI by using ECOC
https://ijnaa.semnan.ac.ir/article_3954_466.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.Sat, 30 Nov 2019 20:30:00 +0100Some types of soft paracompactness via soft ideals
https://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 +0100Some statistical inferences on the upper record of Lomax distribution
https://ijnaa.semnan.ac.ir/article_4126_466.html
In this paper, we investigate some inferential properties of the upper record Lomax distribution. Also, we will estimate the upper record of the Lomax distribution parameters using methods, Moment (MME), Maximum Likelihood (MLE), Kullback-Leibler Divergence of the Survival function (DLS) and Baysian. Finally, we will compare these methods using the Monte Carlo simulation.Sat, 30 Nov 2019 20:30:00 +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