Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems

Autor:	Lu-Chuan Ceng, S. Schaible, Qamrul Hasan Ansari
Rok vydání:	2011
Předmět:	Mathematical optimization Sequence Control and Optimization Optimization problem Generalization Iterative method Applied Mathematics Extension (predicate logic) Management Science and Operations Research Fixed point Computer Science Applications Convergence (routing) Equilibrium problem Mathematics
Zdroj:	Journal of Global Optimization. 53:69-96
ISSN:	1573-2916 0925-5001
DOI:	10.1007/s10898-011-9703-4
Popis:	In this paper, we introduce and analyze a new hybrid extragradient-like iterative algorithm for finding a common solution of a generalized mixed equilibrium problem, a system of generalized equilibrium problems and a fixed point problem of infinitely many non expansive mappings. Under some mild conditions, we prove the strong convergence of the sequence generated by the proposed algorithm to a common solution of these three problems. Such solution also solves an optimization problem. Several special cases are also discussed. The results presented in this paper are the supplement, extension, improvement and generalization of the previously known results in this area.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f2fd7c8b975c73c320b767c94c263f45 https://doi.org/10.1007/s10898-011-9703-4 Zobrazit plný text záznamu Full text from SpringerLink