Generalized Hadamard Well-Posed for Lexicographic Vector Equilibrium Problems

Thanatporn Bantaojai, Lam Quoc Anh, Pham Thi Vui

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  • Support Team

Keywords:

lexicographic vector equilibrium problems, Hadamard well-posedness, sequence of sets, sequence of mappings, Painlev´e-Kuratowski convergence, lexicographic variational inequalities

Abstract

In this paper, we study Painlevé-Kuratowski convergence of the solution sets with a sequence of mappings converges continuously. By considering the solution sets of lexicographic vector equilibrium problems, we establish necessary and/or sufficient conditions to be Hadamard well-posed for the mentioned problems in the sense of Painlevé-Kuratowski. The results in this paper unified, generalized and extended some known results in the literature.

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Published

2020-03-01

How to Cite

Team, S. (2020). Generalized Hadamard Well-Posed for Lexicographic Vector Equilibrium Problems: Thanatporn Bantaojai, Lam Quoc Anh, Pham Thi Vui. Thai Journal of Mathematics, 18(1), 488–500. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1012

Issue

Vol. 18 No. 1 (2020): March (Applied Nonlinear Analysis)

Section

Articles