Generalized strict feasibility and solvability for generalized vector equilibrium problem with set-valued map in reflexive Banach spaces

DOI10.1186/1029-242X-2012-66zbMath1272.49030WikidataQ59290387 ScholiaQ59290387MaRDI QIDQ371015

Hai-Tao Che, Gang Wang

Publication date: 20 September 2013

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

zbMATH Keywords

boundednessset-valued mappingnonemptinessgeneralized vector equilibrium problemgeneralized strict feasibility

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (6)

A linearly convergent algorithm for sparse signal reconstruction ⋮ New global error bound for extended linear complementarity problems ⋮ An objective penalty function-based method for inequality constrained minimization problem ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ The conjugate gradient viscosity approximation algorithm for split generalized equilibrium and variational inequality problems ⋮ An accelerated augmented Lagrangian method for multi-criteria optimization problem

Cites Work

• Strict feasibility and solvability for vector equilibrium problems in reflexive Banach spaces
• Characterizations of solutions for vector equilibrium problems
• Feasibility and solvability for vector complementarity problems
• On the generalized vector equilibrium problems
• Feasibility-solvability theorem for a generalized system
• Some properties of convex sets related to fixed point theorems
• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Existence of solutions for generalized vector equilibrium problems
• Vector equilibrium problems with generalized monotone bifunctions
• From scalar to vector equilibrium problems in the quasimonotone case
• On the closedness of the algebraic difference of closed convex sets.
• On generalized vector equilibrium problems.
• An existence result for the generalized vector equilibrium problem
• Some existence results for solutions of generalized vector quasi-equilibrium problems
• Recession methods for generalized vector equilibrium problems
• Strict feasibility of generalized complementarity problems
• Existence and duality of generalized vector equilibrium problems

This page was built for publication: Generalized strict feasibility and solvability for generalized vector equilibrium problem with set-valued map in reflexive Banach spaces