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Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

✍ Scribed by Yonghong Yao; Yeong-Cheng Liou; Rudong Chen

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 114 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610817

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an α ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under some mild conditions on parameters (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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