Tikhonov-type regularization method for efficient solutions in vector optimization

Authors:
Thai Doan Chuong
Affiliations:
Department of Mathematics, Dong Thap University, 783 Pham Huu Lau Road, Cao Lanh City, Dong Thap Province, Viet Nam
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

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.