The KKM Theorem in Modular Spaces and Applications to Minimax Inequalities

2015 ◽  
Vol 39 (3) ◽  
pp. 921-931
Author(s):  
S. Shabanian ◽  
S. M. Vaezpour
Keyword(s):  
Kkm Theorem ◽  
Minimax Inequalities ◽  
Modular Spaces

G-KKM theorem, minimax inequalities and saddle points

1997 ◽  
Vol 30 (7) ◽  
pp. 4151-4160 ◽  
Author(s):  
Kok-Keong Tan(xf*)
Keyword(s):  
Saddle Points ◽  
Kkm Theorem ◽  
Minimax Inequalities

scholarly journals A New Fixed Point Theorem and Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Min Fang ◽  
Xie Ping Ding
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Topological Space ◽  
Point Theorem ◽  
Kkm Theorem ◽  
Minimax Inequalities ◽  
Convexity Structure ◽  
Ky Fan

A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained under suitable conditions. Our results are different from known results in the literature.

Common Fixed Points in Modular Spaces

2018 ◽  
pp. 502 ◽  
Author(s):  
Salwa Salman Abed ◽  
Karrar Emad Abdul Sada
Keyword(s):  
Fixed Point ◽  
Weak Convergence ◽  
Fixed Point Theorems ◽  
Active Role ◽  
Common Fixed Points ◽  
Weakly Compact ◽  
Expansive Mapping ◽  
Modular Spaces ◽  
Opial’S Property ◽  
Common Fixed Point Theorems

     In this paper,there are   new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved,  Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.  

scholarly journals Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Murali Ramdoss ◽  
Divyakumari Pachaiyappan ◽  
Choonkil Park ◽  
Jung Rye Lee
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Research Paper ◽  
Fixed Point Method ◽  
Quadratic Functional ◽  
Ulam Stability ◽  
Modular Spaces

AbstractThis research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.

On a class of new KKM theorem with applications

1996 ◽  
Vol 17 (9) ◽  
pp. 819-826
Author(s):  
Zhang Shisheng ◽  
Zhang Xian
Keyword(s):  
Kkm Theorem

Stability Property of Functional Equations in Modular Spaces: A Fixed-Point Approach

2021 ◽  
Vol 109 (1-2) ◽  
pp. 262-269
Author(s):  
P. Saha ◽  
Pratap Mondal ◽  
B. S. Choudhury
Keyword(s):  
Fixed Point ◽  
Functional Equations ◽  
Stability Property ◽  
Fixed Point Approach ◽  
Modular Spaces
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