General existence theorems, alternative theorems and applications to minimax problems
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Publication:845006
DOI10.1016/j.na.2009.11.016zbMath1192.49015OpenAlexW2055222335MaRDI QIDQ845006
Phan Quoc Khanh, Nguyen Hong Quan
Publication date: 5 February 2010
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.2009.11.016
minimax problemsalternative theoremscoincidence-point theoremsgeneralized KKM propertyGFC-spacesmaximal-element theoremsnonempty-intersection theorems
Variational inequalities (49J40) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)
Related Items (14)
Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh ⋮ A unified study of existence theorems in topologically based settings and applications in optimization ⋮ Topologically-based characterizations of the existence of solutions of optimization-related problems ⋮ A new fixed point theorem and applications ⋮ Solutions for zero‐sum two‐player games with noncompact decision sets and unbounded payoffs ⋮ A minimax approach for the study of systems of variational equations and related Galerkin schemes ⋮ Weak KKM theorems in generalized finitely continuous space with applications ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Factorization of quasi-variational relations systems ⋮ General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization ⋮ A topological characterization of the existence of fixed points and applications ⋮ Elementary convex techniques for equilibrium, minimax and variational problems ⋮ Generic stability and essential components of generalized KKM points and applications ⋮ Alternative principles and their applications
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