@article { author = {Haghayeghi, Somayeh and Madandar, Fatemeh}, title = {Nash equilibrium strategy for two-person zero-sum matrix games on credibility space}, journal = {Communications in Nonlinear Analysis}, volume = {5}, number = {1}, pages = {1-7}, year = {2018}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain theexpected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expectedvalue Nash equilibrium strategy of the fuzzy games. In other words, we extend the expected model to fuzzytrapezoidal variables and improve the previous researches in this area. However, in some cases, the gamedoesn't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibriumand weak Pareto Nash equilibrium strategies in these cases.}, keywords = {Matrix game,fuzzy payoffs,Nash equilibrium,fuzzy trapezoidal variables}, url = {https://www.cna-journal.com/article_89284.html}, eprint = {https://www.cna-journal.com/article_89284_352a4f458d1e3b415a27b051b7fb7f83.pdf} } @article { author = {Salahifard, Hero}, title = {On the existence and global structure of solutions for a class of fractional feedback control systems}, journal = {Communications in Nonlinear Analysis}, volume = {5}, number = {1}, pages = {8-18}, year = {2018}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In this paper, using topological tools, guiding functions and bifurcation theory, we deal with the existenceof a connected subset of nontrivial solutions of a system whose dynamics of the system and feedback laware expressed in the form of fractional differential equations.}, keywords = {bifurcation theory,Boundary value problem,Caputo derivative,degree theory,Fredholm operators,guiding functions}, url = {https://www.cna-journal.com/article_89285.html}, eprint = {https://www.cna-journal.com/article_89285_c3463b8a684f34eb7cffa4ecb1fb0ada.pdf} } @article { author = {Nasertayoob, Payam}, title = {Solvability and asymptotic stability of a class of nonlinear functional­integral equation with feedback control}, journal = {Communications in Nonlinear Analysis}, volume = {5}, number = {1}, pages = {19-27}, year = {2018}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {Using the technique of measure of noncompactness we prove the existence, asymptotic stability and globalattractivity of a class of nonlinear functional-integral equation with feedback control. We will also includea class of examples in order to indicate the validity of the assumptions.}, keywords = {Functional integral equation,Measure of noncompactness,asymptotic stability,Feedback Control, xed point}, url = {https://www.cna-journal.com/article_89404.html}, eprint = {https://www.cna-journal.com/article_89404_e59d36c95cafd16f5c36a528209f5253.pdf} } @article { author = {Gupta, Animesh}, title = {Solutions for some nonlinear functional­integral equations with applications}, journal = {Communications in Nonlinear Analysis}, volume = {5}, number = {1}, pages = {28-39}, year = {2018}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In the present manuscript, we prove some results concerning the existence of solutions for some nonlinearfunctional-integral equations which contains various integral and functional equations that considered innonlinear analysis and its applications. By utilizing the techniques of noncompactness measures, we operatethe fixed point theorems such as Darbo's theorem in Banach algebra concerning the estimate on the solutions.The results obtained in this paper extend and improve essentially some known results in the recent literature.We also provide an example of a nonlinear functional-integral equation to show the ability of our main result.}, keywords = {Banach algebra, Fixed point,Functional-integral equation,Measure of noncompactness}, url = {https://www.cna-journal.com/article_89408.html}, eprint = {https://www.cna-journal.com/article_89408_99136768161f70d46e04a470fca34827.pdf} } @article { author = {Rao, K. P. R. and Sombabu, A.}, title = {Suzuki type common fixed point theorems for four maps using a-admissible in partial ordered complex partial metric spaces}, journal = {Communications in Nonlinear Analysis}, volume = {5}, number = {1}, pages = {40-54}, year = {2018}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In this paper, we obtain Suzuki type common fixed point theorems for four maps using -admissible inpartial ordered complex partial metric spaces. Also, we give examples to illustrate our theorems.}, keywords = {Complex partial metric space,a-admissible maps,p_c^*-compatible maps}, url = {https://www.cna-journal.com/article_89281.html}, eprint = {https://www.cna-journal.com/article_89281_11371c55a67aca6fd49baac8655c1733.pdf} }