Generalized G-H-convexity and minimax theorems in G-H-spaces

DOI10.1016/S0898-1221(99)00163-7zbMath0939.49007OpenAlexW2073389539MaRDI QIDQ1963075

Ram U. Verma

Publication date: 20 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00163-7

zbMATH Keywords

minimax theoremsminimax inequalitiessaddle pointsG-H-convexitygeneralized H-spacer-G-H-KKM selections

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (6)

Generalized \(R\)-KKM theorems in topological space and their applications. ⋮ On a generalized class of minimax inequalities ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ System of generalized vector quasi-equilibrium problems in locally FC-spaces ⋮ Generalized \(R\)-KKM type theorems in topological spaces with applications ⋮ Generalized \(L\)-KKM type theorems in \(L\)-convex spaces with applications

Cites Work

• Generalized KKM theorem and variational inequalities
• Generalized KKM theorem on \(H\)-space with applications
• G-H-KKM type theorems and their applications to a new class of minimax inequalities
• 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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