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1. An Iterative Approximation Method for a Countable Family of Nonexpansive Mappings in Hilbert Spaces.

Author

Wangkeeree, Rabian

Subjects
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