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

Mohammed Ali Alghamdi¹ 

关键词: fixed points of mappings;    monotone mappings;    pseudocontractive mappings;    strong convergence;    47H09;    47H10;    47J20;    65J15;    47L25;   

DOI  :  10.1186/s13660-015-0804-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY