Nash equilibrium strategy for two-person zero-sum matrix games on credibility space
Somayeh
Haghayeghi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
Fatemeh
Madandar
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
text
article
2018
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
5
v.
1
no.
2018
1
7
http://www.cna-journal.com/article_89284_352a4f458d1e3b415a27b051b7fb7f83.pdf
On the existence and global structure of solutions for a class of fractional feedback control systems
Hero
Salahifard
Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran.
author
text
article
2018
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
5
v.
1
no.
2018
8
18
http://www.cna-journal.com/article_89285_c3463b8a684f34eb7cffa4ecb1fb0ada.pdf
Solvability and asymptotic stability of a class of nonlinear functionalintegral equation with feedback control
Payam
Nasertayoob
Department of Mathematics and Computer Science, Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box
15914, Tehran, Iran.
author
text
article
2018
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
5
v.
1
no.
2018
19
27
http://www.cna-journal.com/article_89404_e59d36c95cafd16f5c36a528209f5253.pdf
Solutions for some nonlinear functionalintegral equations with applications
Animesh
Gupta
Department of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.
author
text
article
2018
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
5
v.
1
no.
2018
28
39
http://www.cna-journal.com/article_89408_99136768161f70d46e04a470fca34827.pdf
Suzuki type common ﬁxed point theorems for four maps using a-admissible in partial ordered complex partial metric spaces
K. P. R.
Rao
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510., A.P., India.
author
A.
Sombabu
Department of Mathematics, NRI Institute of Technology, Agiripalli-521211, A.P., India.
author
text
article
2018
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
5
v.
1
no.
2018
40
54
http://www.cna-journal.com/article_89281_11371c55a67aca6fd49baac8655c1733.pdf