A projection iterative algorithm for strong vector equilibrium problem

Autor:	Qiu-ying Li, San-hua Wang
Rok vydání:	2014
Předmět:	Mathematical optimization Control and Optimization Iterative method Applied Mathematics Convergence (routing) Applied mathematics Equilibrium problem Metric projection Management Science and Operations Research Convexity Projection (linear algebra) Mathematics
Zdroj:	Optimization. 64:2049-2063
ISSN:	1029-4945 0233-1934
DOI:	10.1080/02331934.2014.919501
Popis:	In this paper, iterative algorithm for strong vector equilibrium problem (SVEP) is studied. Firstly, an auxiliary problem for SVEP is introduced and the relationships between these two problems are discussed. Then, based on the auxiliary problem, a projection iterative algorithm for SVEP is proposed. Moreover, analysis of convergence of this iterative algorithm is investigated under suitable conditions of continuity and convexity. The main result obtained in this paper generalizes and improves the corresponding ones of Iusem and Sosa [Iusem AN, Sosa W. Iterative algorithms for equilibrium problems. Optimization. 2003;52(3):301–316.] and Cheng and Liu [Cheng B, Liu SY. An iterative algorithm for vector equilibrium problems. J. Lanzhou Univ. (Nat. Sci.). 2009;45(5):105–109.].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cf1dd371e819051d3a2f0116b45f5d1c https://doi.org/10.1080/02331934.2014.919501 Zobrazit plný text záznamu