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Generalized Hadamard Well-Posed for Lexicographic Vector Equilibrium Problems

Thanatporn Bantaojai, Lam Quoc Anh, Pham Thi Vui

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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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|