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Conjugate Duality in Set-Valued Vector Optimization

1997, Journal of Mathematical Analysis and Applications

Abstract

In this paper, conjugate duality results for convexlike set-valued vector optimization problems are presented under closedness or boundedness hypotheses. Some properties of the value mapping of a set-valued vector optimization problem are studied. A conjugate duality result is also proved for a convex set-valued vector optimization problem without the requirements of closedness and boundedness.