G-H-KKM type theorems and their applications to a new class of minimax inequalities

DOI10.1016/S0898-1221(99)00099-1zbMath0934.49005MaRDI QIDQ1806487

Ram U. Verma

Publication date: 9 February 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

minimax inequalitiesintersection theoremsKKM-mappingsG-H-KKM type selectionsG-H-space

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items (11)

Nonempty intersection theorems in topological spaces with applications ⋮ A new KKM theorem in \(L\)-convex spaces and some applications ⋮ Generalized G-H-convexity and minimax theorems in G-H-spaces ⋮ On a generalized class of minimax inequalities ⋮ Generalized \(L\)-KKM type theorems in topological spaces with an application ⋮ New generalized \(R\)-\(KKM\) type theorems in general topological spaces and applications ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ Generalized \(R\)-KKM type theorems in topological spaces with applications ⋮ Generalized \(L\)-KKM type theorems in \(L\)-convex spaces with applications ⋮ S-G-L-KKM theorems in L-convex space and their applications to minimax inequalities ⋮ Continuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces

Cites Work

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• Generalized KKM theorem and variational inequalities
• Generalized KKM theorem on \(H\)-space with applications
• S-KKM theorems, saddle points and minimax inequalities
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• G-KKM theorem, minimax inequalities and saddle points

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