Quasi-equilibrium problems with applications to infinite optimization and constrained games in general topological spaces

DOI10.1016/S0893-9659(99)00180-9zbMath0955.49010MaRDI QIDQ1588760

Xie Ping Ding

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

quasi-equilibrium problemFan-Browder type fixed point theoremnoncompact constrained gamenoncompact infinite optimization

Mathematics Subject Classification ID

Variational inequalities (49J40) Games involving topology, set theory, or logic (91A44) Fixed-point theorems (47H10) Programming in abstract spaces (90C48) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (12)

Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces ⋮ KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces ⋮ Generalized vector quasi-equilibrium problems in locally \(G\)-convex spaces ⋮ System of vector quasi-equilibrium problems and its applications ⋮ Iterative algorithm of solutions for multivalued general mixed implicit equilibrium-like problems ⋮ Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems ⋮ System of generalized vector quasi-equilibrium problems in locally FC-spaces ⋮ Implicit vector quasi-equilibrium problems with applications to variational inequalities ⋮ Vector quasi-equilibrium problems ⋮ Constrained multiobjective games in general topological space ⋮ Applications of order-theoretic fixed point theorems to discontinuous quasi-equilibrium problems ⋮ EXTRAGRADIENT METHODS FOR QUASI-EQUILIBRIUM PROBLEMS IN BANACH SPACES

Cites Work

• Quasi-variational inequalities and social equilibrium
• On some generalized quasi-equilibrium problems
• The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria
• Existence of solutions for lower semicontinuous quasi-equilibrium problems
• The Idzik type quasivariational inequalities and noncompact optimization problems
• An application of Ky-fan fixed point theorem to an optimization problem
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