Fixed points and quasi-equilibrium problems

DOI10.1016/S0895-7177(00)00204-1zbMath0983.47038OpenAlexW4212881754MaRDI QIDQ5931727

Sehie Park

Publication date: 25 April 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00204-1

zbMATH Keywords

admissible topological vector spacescompact acyclic mapscompact mapconvex subsetsfixed point theoremnot-necessarily locally convex topological vector spacesquasi-equilibrium problemsquasi-variational inequalitiesupper semicontinuous map

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Optimality conditions and duality in mathematical programming (90C46) Fixed-point theorems (47H10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (19)

Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices ⋮ Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces ⋮ A unified fixed point theory in generalized convex spaces ⋮ On the existence of solutions of quasi-equilibrium problems with constraints ⋮ On quasivariational inclusion problems of type I and related problems ⋮ On the existence of solutions to generalized quasi-equilibrium problems ⋮ Fixed point theory of multimaps in abstract convex uniform spaces ⋮ Acyclic versions of the von Neumann and Nash equilibrium theorems ⋮ Generalized vector quasi-equilibrium problems in locally \(G\)-convex spaces ⋮ Solving fixed-point problems with inequality and equality constraints via a non-interior point homotopy path-following method ⋮ A parameter perturbation homotopy continuation method for solving fixed point problems with both inequality and equality constraints ⋮ Counterexamples on some articles on quasi-variational inclusion problems ⋮ On some equilibrium problems for multimaps ⋮ Existence of an interior path leading to the solution point of a class of fixed point problems ⋮ On the existence of solutions of quasivariational inclusion problems ⋮ Generalizations of fixed point theorems and computation ⋮ On some generalized quasi-equilibrium problems ⋮ Some inequality techniques in handling fixed point problems on unbounded sets via homotopy methods ⋮ Applications of order-theoretic fixed point theorems to discontinuous quasi-equilibrium problems

Cites Work

• Leray-Schauder theory without local convexity
• A generalization of generalized quasi-variational inequalities
• Necessary and sufficient conditions for the existence of the implicit variational inequality problem
• On the general variational inequality
• Compact convex sets in non-locally-convex linear spaces
• Some Fixed Point Theorems for Composites of Acyclic Maps
• Acyclic maps, minimax inequalities and fixed points
• Degree of Mapping in Convex Linear Topological Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fixed points and quasi-equilibrium problems