An iterative method for solving the strong vector equilibrium problem with variable domination structure. (3rd June 2018)

• Record Type: Journal Article
• Authors: Wang, San-hua; Huang, Jin-xia; Zhu, Chuan-xi
• Is Part Of: Optimization. Volume 67:Number 6(2018)
• Page Start: 865
• Page End: 879
• Publication Date: 2018-06-03
• Subjects: Strong vector equilibrium problem -- variable domination structure -- auxiliary problem -- projection iterative method -- cosmically upper continuity; 65K15 -- 47J25 -- 90C33; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1432607
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: 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.