Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces

DOI10.1186/1687-1812-2011-36zbMath1315.47055OpenAlexW2121189803WikidataQ59269320 ScholiaQ59269320MaRDI QIDQ362429

Zhi-Bin Liu, Qing-You Liu, Bin Chen, Nan-Jing Huang

Publication date: 21 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-36

zbMATH Keywords

connectednessvector equilibrium problemscalarization method\(\varepsilon\)-efficient solution\(\varepsilon\)-weak efficient solution

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets ⋮ Some characterizations of the approximate solutions to generalized vector equilibrium problems ⋮ An approximation theorem and generic convergence for equilibrium problems ⋮ Approximate proper solutions in vector equilibrium problems. Limit behavior and linear scalarization results ⋮ The connectedness of the solutions set for generalized vector equilibrium problems ⋮ Unnamed Item ⋮ The connectedness of the solutions set for set-valued vector equilibrium problems under improvement sets ⋮ An approximation theorem and generic convergence of solutions of inverse quasivariational inequality problems

Cites Work

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• On vector quasi-equilibrium problems with set-valued maps
• On system of generalized vector quasi-equilibrium problems with set-valued maps
• Connectedness of the set of efficient solutions for generalized systems
• Connectedness of the solution sets and scalarization for vector equilibrium problems
• Gap functions and existence of solutions for a system of vector equilibrium problems
• Compact Browder maps and equilibria of abstract economies
• Equilibrium existence theorems in KKM spaces
• Connectedness and compactness of weak efficient solutions for set-valued vector equilibrium problems
• Solution semicontinuity of parametric generalized vector equilibrium problems
• Quasiconcave vector maximization: Connectedness of the sets of Pareto- optimal and weak Pareto-optimal alternatives
• Existence of solutions for generalized vector equilibrium problems
• Foundations of the KKM theory on generalized convex spaces
• A generalization of vectorial equilibria
• Generalized vector quasi-equilibrium problems.
• On implicit vector equilibrium problems.
• Vector variational inequalities and vector equilibria. Mathematical theories
• On the existence of solutions of quasivariational inclusion problems
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• An existence result for the generalized vector equilibrium problem
• Connectedness and path-connectedness of solution sets to symmetric vector equilibrium problems
• Some existence results for solutions of generalized vector quasi-equilibrium problems
• Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
• Vector optimization. Set-valued and variational analysis.
• Recession methods for generalized vector equilibrium problems
• Remarks on fixed points, maximal elements, and equilibria of economies in abstract convex spaces
• Vector variational inequality as a tool for studying vector optimization problems
• Implicit vector equilibrium problems via nonlinear scalarisation
• Efficiency and Henig efficiency for vector equilibrium problems.
• On the connectedness of the solution set for the weak vector variational inequality

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