✦ LIBER ✦

Lagrangian Multipliers, Saddle Points, and Duality in Vector Optimization of Set-Valued Maps

✍ Scribed by Zhong-Fei Li; Guang-Ya Chen

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 266 KB
Volume: 215
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5568

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✦ Synopsis

This paper establishes an alternative theorem for generalized inequality-equality Ž . systems of set-valued maps. Based on this, several Lagrange multiplier type as well as saddle point type necessary and sufficient conditions are obtained for the existence of weak minimizers in vector optimization of set-valued maps. Lagrange type duality theorems are also derived.