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Tikhonov-type regularization method for efficient solutions in vector optimization

โœ Scribed by Thai Doan Chuong

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
278 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

The paper is devoted to developing the Tikhonov-type regularization algorithm of finding efficient solutions to the vector optimization problem for a mapping between finite dimensional Hilbert spaces with respect to the partial order induced by a pointed closed convex cone. We prove that under some suitable conditions either the sequence generated by our method converges to an efficient solution or all of its cluster points belong to the set of all efficient solutions of this problem.

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## Pareto optimal solution Error term a b s t r a c t In this paper, we consider a convex vector optimization problem of finding weak Pareto optimal solutions for an extended vector-valued map from a uniformly convex and uniformly smooth Banach space to a real Banach space, with respect to the par