Characterizations of the Benson Proper Efficiency for Nonconvex Vector Optimization

G. Y. Chen and W. D. Rong
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G. Y. Chen: Academia Sinica
W. D. Rong: Inner Mongolia University

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 2, No 5, 365-384

Abstract: Abstract Under generalized cone-subconvexlikeness for vector-valued mappings in locally-convex Hausdorff topological vector spaces, a Gordan-form alternative theorem is derived. Some characterizations of the Benson proper efficiency under this generalized convexity are established in terms of scalarization, Lagrangian multipliers, saddle-point criterion, and duality.

Keywords: Generalized cone-subconvexlikeness; vector optimization; proper efficiency; scalarization; Lagrangian multipliers; saddle-point criterion; duality (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/A:1022689517921

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