Generalized KKM theorem on \(H\)-space with applications

DOI10.1016/0022-247X(92)90258-FzbMath0788.54048OpenAlexW1984076553MaRDI QIDQ1191752

Yihai Ma, Shi Sheng Zhang

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90258-f

zbMATH Keywords

KKM theoremminimax inequalities\(H\)-spacecoincidence theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (27)

Topological version of section theorems with applications ⋮ Transfer open or closed setvalued mapping and generalization of H-KKM theorem with applications ⋮ Topologically finite intersection property and minimax theorems ⋮ New generalisations of an H-KKM type theorem and their applications ⋮ A new KKM theorem in \(L\)-convex spaces and some applications ⋮ On a class of new KKM theorem with applications ⋮ New version of KKM theorem in probabilistic metric spaces with applications ⋮ Some intersection theorems and minimax inequalities ⋮ New generalizations of Browder's variational inequalities and the Ky Fan minimax inequality ⋮ The matching theorems in \(G\)-convex spaces with applications ⋮ Generalized \(R\)-KKM theorems in topological space and their applications. ⋮ Relative KKM type selection theorems and their applications ⋮ Existence theorems of solutions for a kind of quasi-variational inequalities with monotone type multivalued mapping ⋮ Generalized G-H-convexity and minimax theorems in G-H-spaces ⋮ On a generalized class of minimax inequalities ⋮ Nonlinear variational inequalities and implicit variational inequality of Ky Fan type in \(H\)-spaces ⋮ Generalized \(L\)-KKM type theorems in topological spaces with an application ⋮ Generalized KKM theorems and common fixed point theorems ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ Minimax theorems in fuzzy metric spaces ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ G-H-KKM type theorems and their applications to a new class of minimax inequalities ⋮ New existence theorems for maximal elements in noncompact \(H\)-spaces with applications to equilibrium of games ⋮ Section theorems, coincidence theorems and intersection theorems on \(H\)- spaces with applications ⋮ I-G-H-KKM mappings and minimax inequalities. ⋮ Generalized G-KKM theorems in generalized convex spaces and their applications ⋮ Generalized \(L\)-KKM type theorems in \(L\)-convex spaces with applications

Cites Work

• A generalization of Tychonoff's fixed point theorem
• On the use of KKM multifunctions in fixed point theory and related topics
• Some properties of convex sets related to fixed point theorems
• Some applications of the Kakutani fixed point theorem
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• A minimax inequality and its applications to variational inequalities
• Generalized KKM theorem and variational inequalities
• Generalizations of Ky Fan's matching theorems and their applications
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
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