Levitin-Polyak Well-Posedness for Strong Vector Mixed Quasivariational Inequality Problems

Panatda Boonman, Rabian Wangkeeree, Lam Quoc Anh

Abstract


In this paper, we first introduce the concepts of Levitin-Polyak well- posedness and Levitin-Polyak well-posedness in the generalized sense for strong vector mixed quasivariational inequality problems of the Minty type and the Stam- pacchia type (for short, (MQVI) and (SQVI), respectively). Sufficient conditions for such problems to be Levitin-Polyak well-posedness are established. We also introduce the gap functions for (MQVI) and (SQVI) and study some properties which are used to study the Levitin-Polyak well-posedness for such problems.


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The Thai Journal of Mathematics is 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|