Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-27
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
An iteration process studied by Chidume and Zegeye 2002 is proved to converge strongly to a solution of the equation Au=0 where A is a bounded m-accretive operator on certain real Banach spaces E that include Lp spaces 2≤p<∞.
The iteration process does not involve the computation of the resolvent at any step of the process and does not involve the projection of an initial vector onto the intersection of two convex subsets of E, setbacks associated with the classical proximal point algorithm of Martinet 1970, Rockafellar 1976 and its modifications by various authors for approximating of a solution of this equation.
The ideas of the iteration process are applied to approximate fixed points of uniformly continuous pseudocontractive maps.
American Psychological Association (APA)
Chidume, Charles E.& Djitté, N.. 2012. Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-490054
Modern Language Association (MLA)
Chidume, Charles E.& Djitté, N.. Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-490054
American Medical Association (AMA)
Chidume, Charles E.& Djitté, N.. Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-490054
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490054