Coincidence Theorem and Saddle Point Theorem

DOI10.2307/2046310zbMath0657.47055OpenAlexW4231640535MaRDI QIDQ3805356

Hidetoshi Komiya

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046310

zbMATH Keywords

saddle point theoremcoincidence theoremnonempty compact convex subset of a linear topological spaceupper semicontinuous and closed convex- valued mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items (16)

Note on \(\varepsilon\)-saddle point and saddle point theorems ⋮ Coincidence theorems involving composites of acyclic mappings in contractible spaces ⋮ Existence theorems of Nash equilibria for non-cooperative \(n\)-person games ⋮ New generalisations of an H-KKM type theorem and their applications ⋮ A coincidence theorem involving contractible spaces ⋮ Coincidence theorems with applications to minimax inequalities, section theorem, best approximation and multiobjective games in topological spaces ⋮ Some coincidence theorems and applications ⋮ Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems ⋮ Coincidence theorems in topological spaces and their applications ⋮ Generalized variational inequalities and equilibrium problems in generalized convex spaces ⋮ Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces ⋮ A Remark on Coincidence Theorems ⋮ Existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure ⋮ The best approximation and coincidence theorems for composites of acyclic mappings ⋮ Quasi-equilibrium problems in noncompact generalized convex spaces ⋮ Continuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Recent results in fixed point theory
• Nonlinear variational inequalities and fixed point theorems
• Minimax and fixed point theorems
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• A generalization of Brouwer's fixed point theorem
• Coincidence theorems, minimax theorems, and variational inequalities
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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