Research Article
A New Iterative Scheme for Nonexpansive and Monotone Lipschitz Continuous Mappings
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 91 - Issue 8 |
| Published: April 2014 |
| Authors: Renu Chugh, Rekha Rani |
10.5120/15905-5180
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Renu Chugh, Rekha Rani . A New Iterative Scheme for Nonexpansive and Monotone Lipschitz Continuous Mappings. International Journal of Computer Applications. 91, 8 (April 2014), 42-45. DOI=10.5120/15905-5180
@article{ 10.5120/15905-5180,
author = { Renu Chugh,Rekha Rani },
title = { A New Iterative Scheme for Nonexpansive and Monotone Lipschitz Continuous Mappings },
journal = { International Journal of Computer Applications },
year = { 2014 },
volume = { 91 },
number = { 8 },
pages = { 42-45 },
doi = { 10.5120/15905-5180 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%A Renu Chugh
%A Rekha Rani
%T A New Iterative Scheme for Nonexpansive and Monotone Lipschitz Continuous Mappings%T
%J International Journal of Computer Applications
%V 91
%N 8
%P 42-45
%R 10.5120/15905-5180
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The aim of paper is to prove a weak convergenceresult for finding a common of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping. Using an example in C++, validity of the result will be proved. Also, we shall find a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of a monotone, Lipschitz continuous mapping.
References
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