On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces

DOI10.1515/JAA.1999.59zbMath0935.58011OpenAlexW2127202760MaRDI QIDQ4254574

Zhi-Ming Zhang, Xian Wu

Publication date: 3 December 1999

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.1999.59

zbMATH Keywords

H-spacegeneralized quasi-variational inequalityH-convex setsSion type minimax theoremW-lower semicontinuous functionW-upper semicontinuous function

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (1)

Continuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Generalized quasivariational inequalities in locally convex topological vector spaces
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• A general minimax theorem based on connectedness
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• Minimax and fixed point theorems
• A symmetric minimax theorem without linear structure
• Minimax theorems for interval spaces
• Section theorems on \(H\)-spaces with applications
• A generalization of generalized quasi-variational inequalities
• Existence of equilibrium for abstract economies
• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• The fixed point theory of multi-valued mappings in topological vector spaces
• Some coincidence theorems and applications
• An application of Ky-fan fixed point theorem to an optimization problem

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