A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

Mohammed Ali Alghamdi; Naseer Shahzad; Habtu Zegeye

doi:10.1186/s13660-015-0804-3

A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

Mohammed Ali Alghamdi, Naseer Shahzad, Habtu Zegeye

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article

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	https://doi.org/10.1186/s13660-015-0804-3
Publication status	Published - Dec 26 2015

Fingerprint

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

Alghamdi, M. A., Shahzad, N., & Zegeye, H. (2015). A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping. Journal of Inequalities and Applications, 2015(1), [292]. https://doi.org/10.1186/s13660-015-0804-3

@article{57dedb3e7e1445ac93e46ccad6628ce4,

title = "A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping",

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.",

author = "Alghamdi, {Mohammed Ali} and Naseer Shahzad and Habtu Zegeye",

year = "2015",

month = dec

day = "26",

doi = "10.1186/s13660-015-0804-3",

language = "English",

volume = "2015",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Publishing Company",

number = "1",

}

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 -

Access to Document

10.1186/s13660-015-0804-3