Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure

Thanatporn Bantaojai, Rabian Wangkeeree

Abstract


This paper is concerned with the stability of the solution sets for a generalized strong vector quasi-equilibrium problem with domination structure (GSVQEP), that is, we study Painlevé-Kuratowski convergence of the solution sets with a sequence of mappings converging continuously and sequence of set converging in the sense of Painlevé-Kuratowski. Our main results are new and differentfromtheexistingonesintheliterature. Illustratingexamplesareprovied

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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|