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Global proper efficiency and vector optimization with cone-arcwise connected set-valued maps

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  • This paper deals with the characteristics of global proper efficient points and the optimality conditions of vector optimization problems involving generalized convex set-valued maps. Several equivalent properties of global proper efficient points are proposed. Utilizing cone-directed contingent derivative, it presents the unified necessary and sufficient optimality conditions for global proper efficient element in vector optimization problem with cone-arcwise connected set-valued mapping.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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