Generalized equilibrium problems and generalized complementarity problems

DOI10.1023/A:1022643407038zbMath0892.90173OpenAlexW172995431MaRDI QIDQ1372564

Sehie Park

Publication date: 15 July 1998

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022643407038

zbMATH Keywords

polytopespolarsconesequilibrium problemsmultimapsgeneralized complementarity problemsadmissible mapsquasiconcave functionsconvex spacesacyclic spacesupper-semicontinuous maps

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (8)

Existence of solutions for extended generalized complementarity problems ⋮ Optimality and duality theorems in nonsmooth multiobjective optimization ⋮ On vector quasi-equilibrium problems with set-valued maps ⋮ Coincidence theorems with applications to minimax inequalities, section theorem, best approximation and multiobjective games in topological spaces ⋮ Generalized variational inequalities and equilibrium problems in generalized convex spaces ⋮ Coincidence theorems for the better admissible multimaps and their applications ⋮ The existence of maximum and minimum solutions to general variational inequalities in the Hilbert lattices ⋮ On solutions of generalized complementarity and eigenvector problems

Cites Work

• On the use of KKM multifunctions in fixed point theory and related topics
• General variational inequalities in Banach spaces
• On the Leray-Schauder alternative
• A variational-like inequality for multifunctions with applications
• On some non-linear elliptic differential functional equations
• A new generalization of the Schauder fixed point theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Generalized complementarity problem
• A variational-like inequality problem
• Extension of the Generalized Complementarity Problem
• A Leray-Schauder Type Theorem for Approximable Maps
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• Variational inequalities
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