An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-25
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces.
As a consequence, we provide a scheme that converges strongly to a common zero of finite family of monotone mappings under suitable conditions.
Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
American Psychological Association (APA)
Zegeye, Habtu& Shahzad, Naseer. 2012. An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993319
Modern Language Association (MLA)
Zegeye, Habtu& Shahzad, Naseer. An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993319
American Medical Association (AMA)
Zegeye, Habtu& Shahzad, Naseer. An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993319
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993319