Optimality conditions for proper efficient solutions of vector set-valued optimization ✩

By X. Gong, Hongbin Dong, Shouyang Wang. 2003

73 citations recorded by the source corpus.

Abstract Based on the concept of an epiderivative for a set-valued map introduced in J. Nanchang Univ. 25 (2001) 122–130, in this paper, we present a few necessary and sufficient conditions for a Henig efficient solution, a globally proper efficient solution, a positive properly efficient solution, an f-efficient solution and a strongly efficient solution, respectively, to a vector set-valued optimization problem with constraints.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/00e45c0cff8f9ef05116466b8f7917be11c7305d

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In Computational Theory and Mathematics

1. Shengjie Li
2. C. Chen

In Control and Systems Engineering

1. Shengjie Li
2. C. Chen

In Numerical Analysis

1. Shengjie Li
2. C. Chen

Citations in the corpus

• Higher order optimality conditions for Henig efficient solutions in set-valued optimization☆ (2006, methodology): “By the separation theorem, C (B) = ∅ (see [5]).”