Generalized strong vector quasi-equilibrium problem with domination structure

Authors:
Junyi Fu;Sanhua Wang
Affiliations:
Department of Mathematics, Nanchang University, Nanchang, People's Republic of China 330031;Department of Mathematics, Nanchang University, Nanchang, People's Republic of China 330031
Venue:
Journal of Global Optimization
Year:
2013

Citing 5
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Generalized vector implicit quasi complementarity problems

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Existence and stability of solutions for generalized strong vector quasi-equilibrium problem

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Abstract

In this paper, a generalized strong vector quasi-equilibrium problem with set-valued mapping and domination structure is presented, and under the condition of cone-continuity, existence of solutions and the compactness of solution set are established. As applications, existence of solutions for strong vector F-implicit variational inequality problem and strong vector F-implicit complementarity problem is derived, and Khan's main results are corrected.