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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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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DOI: https://doi.org/10.1007/s10898-012-9889-0
Keywords
- Strong vector equilibrium problem
- Domination structure
- Cone-continuity
- Fan-KKM theorem
- Strong vector F-implicit variational inequality problem