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.
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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 -