Pointwise Well-Posedness and Scalarization for Set Optimization Problems with a Partial Order Relation

Pakkapon Preechasilp, Rabian Wangkeeree

Abstract


The present paper aims to obtain some relation among three kinds of pointwise well-posedness for set optimization problems with $ \preu $ order. By using a nonlinear scalarization function, we establish some relations between the three kinds of pointwise well-posedness for set optimization problems and the well-posedness of scalar optimization problems, respectively. Some global well-posedness notions are studied. Finally, we discuss the results to robust vector optimization problems.


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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|