Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings

Autor:	Narin Petrot, Montira Suwannaprapa, Vahid Dadashi
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Maximal monotone operator Inverse strongly monotone operator Resolvent operator Convex feasibility problems Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-24 (2018)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-018-1799-3
Popis:	Abstract In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mappings. Weak and strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the problem of finding a common zero of the sum of inverse strongly monotone operators and maximal monotone operators, for finding a common zero of a finite family of maximal monotone operators, for finding a solution of multiple sets split common null point problem, and for finding a solution of multiple sets split convex feasibility problem. Some applications of the main results are also provided.
Databáze:	Directory of Open Access Journals
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