An iterative method for solving the strong vector equilibrium problem with variable domination structure

DOI10.1080/02331934.2018.1432607zbMath1497.65104OpenAlexW2790785231MaRDI QIDQ5745168

Jin-xia Huang, Chuan-Xi Zhu, San-Hua Wang

Publication date: 5 June 2018

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2018.1432607

zbMATH Keywords

variable domination structureauxiliary problemstrong vector equilibrium problemprojection iterative methodcosmically upper continuity

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Related Items

A first bibliography on set and vector optimization problems with respect to variable domination structures, Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces, Well-posedness for bilevel vector equilibrium problems with variable domination structures

Cites Work

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• On generalized quasi-vector equilibrium problems via scalarization method
• Nonconvex separation theorems and some applications in vector optimization
• The system of generalized vector equilibrium problems with applications
• An existence result for the generalized vector equilibrium problem on Hadamard manifolds
• A minimax theorem for vector-valued functions
• Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
• An iterative method for generalized mixed vector equilibrium problems and fixed point of nonexpansive mappings and variational inequalities
• Continuity properties of the normal cone to the level sets of a quasiconvex function
• Generalized strong vector quasi-equilibrium problem with domination structure
• Vector optimization. Set-valued and variational analysis.
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Convergence of asymptotic directions
• A projection iterative algorithm for strong vector equilibrium problem
• On Projection Algorithms for Solving Convex Feasibility Problems
• Iterative Algorithms for Equilibrium Problems
• Viscosity Approximation Methods for Strong Vector Equilibrium Problems and Fixed Point Problems