Homotopy Method for a General Multiobjective Programming Problem under Generalized Quasinormal Cone Condition

X. Zhao; S. G. Zhang; Y. T. Yang; Q. H. Liu

doi:10.1155/2012/591612

Abstract and Applied Analysis (Jan 2012)

Homotopy Method for a General Multiobjective Programming Problem under Generalized Quasinormal Cone Condition

X. Zhao,
S. G. Zhang,
Y. T. Yang,
Q. H. Liu

Affiliations

X. Zhao: Department of Mathematics, Beihua University, Jilin 132013, China
S. G. Zhang: Department of Mathematics, Jilin University, Changchun 130001, China
Y. T. Yang: Department of Mathematics, Beihua University, Jilin 132013, China
Q. H. Liu: Institute of Applied Mathematics, Changchun University of Technology, Changchun 130012, China

DOI: https://doi.org/10.1155/2012/591612
Journal volume & issue: Vol. 2012

Abstract

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A combined interior point homotopy continuation method is proposed for solving general multiobjective programming problem. We prove the existence and convergence of a smooth homotopy path from almost any interior initial interior point to a solution of the KKT system under some basic assumptions.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

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