An iterative method for solving the strong vector equilibrium problem with variable domination structure

In this paper, an iterative algorithm for solving the strong vector equilibrium problem with variable domination structure (VSVEP) is considered. First, an auxiliary problem for the VSVEP is introduced and the relationships between the auxiliary problem and VSVEP are discussed. Then, using the auxil...

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Bibliographic Details
Published inOptimization Vol. 67; no. 6; pp. 865 - 879
Main Authors Wang, San-hua, Huang, Jin-xia, Zhu, Chuan-xi
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.06.2018
Taylor & Francis LLC
Subjects
65K15
Algorithms
auxiliary problem
Convexity
cosmically upper continuity
Iterative algorithms
Iterative methods
Production planning
projection iterative method
Strong vector equilibrium problem
variable domination structure
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Summary:In this paper, an iterative algorithm for solving the strong vector equilibrium problem with variable domination structure (VSVEP) is considered. First, an auxiliary problem for the VSVEP is introduced and the relationships between the auxiliary problem and VSVEP are discussed. Then, using the auxiliary principle technique, a projection iterative algorithm to compute the approximate solutions of the VSVEP is proposed and analysed. Furthermore, convergence of the iterative sequences generated by this algorithm is investigated under suitable conditions of continuity and convexity. These results extend and improve some recent works in this field.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2018.1432607