scholarly journals Variational relation problem without the KKM property with applications

2012 ◽  
Vol 393 (1) ◽  
pp. 256-264 ◽  
Author(s):  
Yong Jian Pu ◽  
Zhe Yang
Keyword(s):  
Variational Relation Problem ◽  
Kkm Property

The 2-KKM property and its applications in hyperconvex metric spaces

2009 ◽  
Vol 71 (5-6) ◽  
pp. 1978-1984
Author(s):  
Chi-Ming Chen ◽  
Tong-Huei Chang
Keyword(s):  
Metric Spaces ◽  
Kkm Property

scholarly journals A Maximal Element Theorem inFWC-Spaces and Its Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-18
Author(s):  
Haishu Lu ◽  
Qingwen Hu ◽  
Yulin Miao
Keyword(s):  
Equilibrium Problem ◽  
Maximal Element ◽  
Existence Theorems ◽  
Minimax Problem ◽  
Lower And Upper Bounds ◽  
Weakly Convex ◽  
Maximal Element Theorem ◽  
Variational Relation Problem ◽  
Generalized Equilibrium ◽  
Element Theorem

A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem inFWC-spaces. The results represented in this paper unify and extend some known results in the literature.

KKM property, S-KKM property and fixed point theorems

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1877-e1884 ◽  
Author(s):  
Hoonjoo Kim
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Kkm Property

scholarly journals On S-KKM Property and-Related Topics

1999 ◽  
Vol 229 (1) ◽  
pp. 212-227 ◽  
Author(s):  
Tong-Huei Chang ◽  
Young-Ye Huang ◽  
Jyh-Chung Jeng ◽  
Kung-Hwang Kuo
Keyword(s):  
Kkm Property
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