Abstract
We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
| Original language | English |
|---|---|
| Article number | 292 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 26 2015 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping. / Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu.
In: Journal of Inequalities and Applications, Vol. 2015, No. 1, 292, 26.12.2015.Research output: Contribution to journal › Article
TY - JOUR
T1 - A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping
AU - Alghamdi, Mohammed Ali
AU - Shahzad, Naseer
AU - Zegeye, Habtu
PY - 2015/12/26
Y1 - 2015/12/26
N2 - We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
AB - We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
UR - http://www.scopus.com/inward/record.url?scp=84942239281&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84942239281&partnerID=8YFLogxK
U2 - 10.1186/s13660-015-0804-3
DO - 10.1186/s13660-015-0804-3
M3 - Article
AN - SCOPUS:84942239281
VL - 2015
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
SN - 1025-5834
IS - 1
M1 - 292
ER -