scholarly journals Weakly G-KKM mappings, G-KKM property, and minimax inequalities

2004 ◽  
Vol 294 (1) ◽  
pp. 237-245 ◽  
Author(s):  
Mircea Balaj
Keyword(s):  
Minimax Inequalities ◽  
Kkm Mappings ◽  
Kkm Property

scholarly journals Generalized Knaster-Kuratowski-Mazurkiewicz type theorems and applications to minimax inequalities

2017 ◽  
Vol 20 (K2) ◽  
pp. 131-140
Author(s):  
Linh Manh Ha
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problems ◽  
Applied Mathematics ◽  
Sufficient Conditions ◽  
Topological Spaces ◽  
Minimax Theorems ◽  
Minimax Inequalities ◽  
Special Cases ◽  
Kkm Mappings ◽  
Definition Of

Knaster-Kuratowski-Mazurkiewicz type theorems play an important role in nonlinear analysis, optimization, and applied mathematics. Since the first well-known result, many international efforts have been made to develop sufficient conditions for the existence of points intersection (and their applications) in increasingly general settings: Gconvex spaces [21, 23], L-convex spaces [12], and FCspaces [8, 9]. Applications of Knaster-Kuratowski-Mazurkiewicz type theorems, especially in existence studies for variational inequalities, equilibrium problems and more general settings have been obtained by many authors, see e.g. recent papers [1, 2, 3, 8, 18, 24, 26] and the references therein. In this paper we propose a definition of generalized KnasterKuratowski-Mazurkiewicz mappings to encompass R-KKM mappings [5], L-KKM mappings [11], T-KKM mappings [18, 19], and many recent existing mappings. Knaster-KuratowskiMazurkiewicz type theorems are established in general topological spaces to generalize known results. As applications, we develop in detail general types of minimax theorems. Our results are shown to improve or include as special cases several recent ones in the literature.

scholarly journals I-G-H-KKM mappings and minimax inequalities

1999 ◽  
Vol 30 (9-10) ◽  
pp. 147-152 ◽  
Author(s):  
R.U. Verma
Keyword(s):  
Minimax Inequalities ◽  
Kkm Mappings

scholarly journals KKM mappings in cone b-metric spaces

2011 ◽  
Vol 62 (4) ◽  
pp. 1677-1684 ◽  
Author(s):  
N. Hussain ◽  
M.H. Shah
Keyword(s):  
Metric Spaces ◽  
Kkm Mappings

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
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