NONEXPANSIVE mappings, FIXED point theory, HILBERT space, CONVEX functions, INNER product spaces, MATHEMATICAL mappings, MONOTONE operators, LINEAR operators
Abstract
In this paper, to find a common element of the fixed point set of common fixed points of a countable family of nonexpansive mappings and the solution set of the variational inequality for α-inverse-strongly monotone, we introduce an iterative approximation method in a real Hilbert space. Then the strong convergence theorem is proved under some appropriate conditions imposed on the parameters. This result extended and improved the corresponding results of Yao and Yao [15] and many others. [ABSTRACT FROM AUTHOR]
Published
2009
Discovery Service for Jio Institute Digital Library
For full access to our library's resources, please sign in.