Existence of solutions to some equilibrium problems

DOI10.1007/s10957-005-2660-7zbMath1093.90083OpenAlexW2044898581MaRDI QIDQ813379

Behzad Djafari Rouhani, P. J. Watson, Enayet Tarafdar

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1007/s10957-005-2660-7

zbMATH Keywords

equilibrium problemsfixed-point theoremshemicontinuous mappingsMonotone and pseudomonotone family of mappings

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Existence of solutions for minimax problems (49J35) General equilibrium theory (91B50)

Related Items (9)

Gap functions and existence of solution of simultaneous equilibrium problems ⋮ Unnamed Item ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ Systems of set-valued quasivariational inclusion problems ⋮ On well-posedness for parametric vector quasiequilibrium problems with moving cones. ⋮ Lexicographic and sequential equilibrium problems ⋮ Well-Posedness for Lexicographic Vector Equilibrium Problems ⋮ Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems ⋮ Existence of solutions to a generalized system

Cites Work

• Unnamed Item
• Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms
• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Vector equilibrium problems with generalized monotone bifunctions
• Asymmetric variational inequality problems over product sets: Applications and iterative methods
• A fixed point theorem and its applications to a system of variational inequalities
• Fixed-point theorems and equilibrium problems

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