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Tykhonov Well-Posedness for Parametric Generalized Vector Equilibrium Problems

Panu Yimmuang, Rabian Wangkeeree

Abstract


In this paper, we introduce and analyze the notion of Tykhonov well-posedness and Tykhonov well-posedness in the general sense for parametric generalized vector equilibrium problems. Metric characterizations of well-posedness and well-posedness in the general sense are explained in terms of approximate solution sets. We consider characterizations of these well-posedness under compactness assumptions. Sufficient conditions of well-posedness in the general sense, in the form of boundedness of approximate solution sets, are investigated. Numerous examples are provided to ensure the importance of the imposed assumptions.

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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|