Some coincidence theorems and applications

DOI10.1017/S0004972700009588zbMath0814.54028MaRDI QIDQ4312394

Xie Ping Ding, Enayet Tarafdar

Publication date: 20 June 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

equilibriumgeneralized gamescoincidence theoremsabstract economicsmaximal elements for preference correspondences

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (16)

On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces ⋮ Coincidence theorems involving composites of acyclic mappings in contractible spaces ⋮ Maximal elements for \(G_B\)-majorized mappings in product \(G\)-convex spaces and applications. II ⋮ A coincidence theorem involving contractible spaces ⋮ Coincidence theorems with applications to minimax inequalities, section theorem, best approximation and multiobjective games in topological spaces ⋮ Coincidence theorems in topological spaces and their applications ⋮ Existence theorems of solutions for a kind of quasi-variational inequalities with monotone type multivalued mapping ⋮ Generalized variational inequalities and equilibrium problems in generalized convex spaces ⋮ On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces ⋮ Existence of solitary waves for supercritical Schrödinger systems in dimension two ⋮ 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 ⋮ On Ky Fan's section theorem ⋮ Quasiequilibrium problem in \(H\)-spaces ⋮ Equilibrium of abstract economy and generalized quasi-variational inequality in \(H\)-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
• Existence of maximal elements and equilibria in linear topological spaces
• Extensions of two fixed point theorems of Ky Fan
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• On equilibria of non-compact generalized games
• A fixed point theorem and equilibrium point of an abstract economy
• Coincidence Theorem and Saddle Point Theorem
• A Further Generalization of the Knaster-Kuratowski-Mazurkiewicz Theorem
• On Nonlinear Variational Inequalities
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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