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Generalized strong vector quasi-equilibrium problem with domination structure

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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.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, People’s Republic of China

    Junyi Fu & Sanhua Wang

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  1. Junyi Fu
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  2. Sanhua Wang
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Correspondence to Junyi Fu.

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Fu, J., Wang, S. Generalized strong vector quasi-equilibrium problem with domination structure. J Glob Optim 55, 839–847 (2013). https://doi.org/10.1007/s10898-012-9889-0

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