Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79205120180601Nash equilibrium strategy for two-person zero-sum matrix games on credibility space1789284ENSomayeh HaghayeghiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Fatemeh MadandarDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Journal Article20190620In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain the<br />expected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expected<br />value Nash equilibrium strategy of the fuzzy games. In other words, we extend the expected model to fuzzy<br />trapezoidal variables and improve the previous researches in this area. However, in some cases, the game<br />doesn't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibrium<br />and weak Pareto Nash equilibrium strategies in these cases.https://www.cna-journal.com/article_89284_352a4f458d1e3b415a27b051b7fb7f83.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79205120180601On the existence and global structure of solutions for a class of fractional feedback control systems81889285ENHero SalahifardDepartment of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran.Journal Article20190620In this paper, using topological tools, guiding functions and bifurcation theory, we deal with the existence<br />of a connected subset of nontrivial solutions of a system whose dynamics of the system and feedback law<br />are expressed in the form of fractional differential equations.https://www.cna-journal.com/article_89285_c3463b8a684f34eb7cffa4ecb1fb0ada.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79205120180601Solvability and asymptotic stability of a class of nonlinear functionalintegral equation with feedback control192789404ENPayam NasertayoobDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box
15914, Tehran, Iran.Journal Article20190622Using the technique of measure of noncompactness we prove the existence, asymptotic stability and global<br />attractivity of a class of nonlinear functional-integral equation with feedback control. We will also include<br />a class of examples in order to indicate the validity of the assumptions.https://www.cna-journal.com/article_89404_e59d36c95cafd16f5c36a528209f5253.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79205120180601Solutions for some nonlinear functionalintegral equations with applications283989408ENAnimesh GuptaDepartment of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.Journal Article20190622In the present manuscript, we prove some results concerning the existence of solutions for some nonlinear<br />functional-integral equations which contains various integral and functional equations that considered in<br />nonlinear analysis and its applications. By utilizing the techniques of noncompactness measures, we operate<br />the fixed point theorems such as Darbo's theorem in Banach algebra concerning the estimate on the solutions.<br />The results obtained in this paper extend and improve essentially some known results in the recent literature.<br />We also provide an example of a nonlinear functional-integral equation to show the ability of our main result.https://www.cna-journal.com/article_89408_99136768161f70d46e04a470fca34827.pdfResearch & Science Group Ltd.Communications in Nonlinear Analysis2371-79205120180601Suzuki type common fixed point theorems for four maps using a-admissible in partial ordered complex partial metric spaces405489281ENK. P. R. RaoDepartment of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510., A.P., India.A. SombabuDepartment of Mathematics, NRI Institute of Technology, Agiripalli-521211, A.P., India.Journal Article20190620In this paper, we obtain Suzuki type common fixed point theorems for four maps using -admissible in<br />partial ordered complex partial metric spaces. Also, we give examples to illustrate our theorems.https://www.cna-journal.com/article_89281_11371c55a67aca6fd49baac8655c1733.pdf