A General Approximation Scheme for Solutions of Various Problems in Fixed Point Theory
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-15
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
It is our aim to prove strong convergence of a new iterative sequence to a common element of the solution set of a generalized mixed equilibrium problem; the null space of an inverse strongly monotone operator; the set of common fixed points of a countable infinite family of nonexpansive mappings; and the set of fixed points of a continuous pseudocontractive mapping.
Moreover, the common element is also a unique solution of a variational inequality problem and optimality condition for a certain minimization problem.
Our theorems generalize, improve, and unify several recently announced results.
American Psychological Association (APA)
Ofoedu, Eric U.. 2013. A General Approximation Scheme for Solutions of Various Problems in Fixed Point Theory. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-496830
Modern Language Association (MLA)
Ofoedu, Eric U.. A General Approximation Scheme for Solutions of Various Problems in Fixed Point Theory. International Journal of Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-496830
American Medical Association (AMA)
Ofoedu, Eric U.. A General Approximation Scheme for Solutions of Various Problems in Fixed Point Theory. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-496830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496830