Equilibrium and least element problems for multivalued functions

DOI10.1007/s10898-009-9440-0zbMath1223.90067OpenAlexW2017008952MaRDI QIDQ967241

Elisabetta Allevi, Adriana Gnudi, Siegfried Schaible, Maria Teresa Vespucci

Publication date: 28 April 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9440-0

zbMATH Keywords

equilibrium problempseudomonotonicitynonlinear problemfeasible set\(Z\)-bifunctionleast element problem

Mathematics Subject Classification ID

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

Related Items (3)

Local boundedness of monotone bifunctions ⋮ Optimality conditions for various efficient solutions involving coderivatives: from set-valued optimization problems to set-valued equilibrium problems ⋮ Invariant-point theorems and existence of solutions to optimization-related problems

Cites Work

• Vector equilibrium problems, minimal element problems and least element problems
• Equivalence of equilibrium problems and least element problems
• Existence of solutions for generalized vector equilibrium problems
• On the equivalence of extended generalized complementarity and generalized least-element problems
• On the equivalence of nonlinear complementarity problems and least-element problems
• Existence of solutions for a generalized vector quasivariational inequality
• Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces
• Equivalence of Nonlinear Complementarity Problems and Least Element Problems in Banach Lattices

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