Acta Mathematica Vietnamica

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Some Characterizations of Solution Sets of Vector Optimization Problems with Generalized Order
Nguyen Van Tuyen

 

Abstract

We establish some necessary and sufficient conditions for optimal solutions to vector optimization problems, where the optimality notion is understood in the sense of generalized order from Mordukhovich (2006, Definition 5.53). Moreover, some criteria for the closedness and the connectedness of the set of generalized order solutions are also given. Many examples are provided to illustrate the obtained results.

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