2020-05-31T20:01:52Z
http://www.cna-journal.com/?_action=export&rf=summon&issue=11958
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2018
5
1
Nash equilibrium strategy for two-person zero-sum matrix games on credibility space
Somayeh
Haghayeghi
Fatemeh
Madandar
In 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.
Matrix game
fuzzy payoffs
Nash equilibrium
fuzzy trapezoidal variables
2018
06
01
1
7
http://www.cna-journal.com/article_89284_352a4f458d1e3b415a27b051b7fb7f83.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2018
5
1
On the existence and global structure of solutions for a class of fractional feedback control systems
Hero
Salahifard
In 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.
bifurcation theory
Boundary value problem
Caputo derivative
degree theory
Fredholm operators
guiding functions
2018
06
01
8
18
http://www.cna-journal.com/article_89285_c3463b8a684f34eb7cffa4ecb1fb0ada.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2018
5
1
Solvability and asymptotic stability of a class of nonlinear functionalintegral equation with feedback control
Payam
Nasertayoob
Using 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.
Functional integral equation
Measure of noncompactness
asymptotic stability
Feedback Control
xed point
2018
06
01
19
27
http://www.cna-journal.com/article_89404_e59d36c95cafd16f5c36a528209f5253.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2018
5
1
Solutions for some nonlinear functionalintegral equations with applications
Animesh
Gupta
In 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.
Banach algebra
Fixed point
Functional-integral equation
Measure of noncompactness
2018
06
01
28
39
http://www.cna-journal.com/article_89408_99136768161f70d46e04a470fca34827.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2018
5
1
Suzuki type common ﬁxed point theorems for four maps using a-admissible in partial ordered complex partial metric spaces
K. P. R.
Rao
A.
Sombabu
In 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.
Complex partial metric space
a-admissible maps
p_c^*-compatible maps
2018
06
01
40
54
http://www.cna-journal.com/article_89281_11371c55a67aca6fd49baac8655c1733.pdf