Convergence Theorems for Accretive Operators with Nonlinear Mappings in Banach Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of strict pseudocontractions in infinite-dimensional Banach spaces.
Under mild conditions, some weak and strong convergence theorems for approximating these common elements are proved.
The methods in the paper are novel and different from those in the early and recent literature.
Further, we consider the problem of finding a common element of the set of solutions of a mathematical model related to equilibrium problems and the set of fixed points of a strict pseudocontractions.
American Psychological Association (APA)
Song, Yanlai& Ceng, Lu-Chuan. 2014. Convergence Theorems for Accretive Operators with Nonlinear Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015080
Modern Language Association (MLA)
Song, Yanlai& Ceng, Lu-Chuan. Convergence Theorems for Accretive Operators with Nonlinear Mappings in Banach Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1015080
American Medical Association (AMA)
Song, Yanlai& Ceng, Lu-Chuan. Convergence Theorems for Accretive Operators with Nonlinear Mappings in Banach Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015080