Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

In this paper, we construct a forward–backward splitting algorithm for approximating a zero of the sum of an α -inverse strongly monotone operator and a maximal monotone operator. The strong convergence theorem is then proved under mild conditions. Then, we add a nonexpansive mapping in the algorith...

Full description

Bibliographic Details

Published in:	Arabian Journal of Mathematics Vol. 9; no. 1; pp. 89 - 99
Main Authors:	Dadashi, Vahid, Postolache, Mihai
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020 Springer Springer Nature B.V
Subjects:	Algorithms Computational geometry Convergence Convexity Fixed points (mathematics) Mapping Mathematical programming Mathematics Mathematics and Statistics Operators (mathematics) Splitting 47H09 47H05
ISSN:	2193-5343, 2193-5351, 2193-5351
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!