Some results for the family 2-gKKM\((X,Y)\) and the \(\Phi\)-mapping in hyperconvex metric spaces
DOI10.1016/J.NA.2007.08.033zbMath1178.54021OpenAlexW2200693984MaRDI QIDQ949676
Tong-Huei Chang, Chi-Ming Chen
Publication date: 21 October 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.08.033
fixed point theoremhyperconvex metric spaceminimax inequality theoremvariational inequality theorem2-gKKM mapping
Minimax problems in mathematical programming (90C47) Variational inequalities (49J40) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)
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Cites Work
- Extension of uniformly continuous transformations and hyperconvex metric spaces
- A generalization of Tychonoff's fixed point theorem
- Generalized KKM theorems on hyperconvex metric spaces with applications
- On the generalized quasi-variational inequality problems
- Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
- Approximate selection theorems in \(H\)-spaces with applications
- KKM and Ky Fan theorems in hyperconvex metric spaces
- System of coincidence theorems with applications.
- KKM mappings in metric spaces
- KKM property and fixed point theorems
- The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
- A selection theorem for quasi-lower semicontinuous mappings in hyperconvex spaces
- Applications of a fixed point theorem in \(G\)-convex space
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