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Further Generalizations of Farkas' Theorem and Their Applications in Optimal Control

โœ Scribed by Vu Ngoc Phat; Jong Yeoul Park

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
222 KB
Volume
216
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

This paper deals with some new generalizations of Farkas' theorem for a class of set-valued mappings with arbitrary convex cones in infinite-dimensional Banach spaces. A modified Farkas' theorem with no closedness assumption is given. The generalized Gale alternative theorem in nonlinear programming is derived as an easy consequence. The results are applied to constrained controllability theory in Banach spaces as well as to some multiobjective optimization problem. แฎŠ 1997

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