Generalized strong vector quasi-equilibrium problem with domination structure

Junyi Fu () and Sanhua Wang

Journal of Global Optimization, 2013, vol. 55, issue 4, 839-847

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Strong vector equilibrium problem; Domination structure; Cone-continuity; Fan-KKM theorem; Strong vector F-implicit variational inequality problem; 90C33; 49J40; 47H10 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9889-0

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