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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