Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators-Reference-Cited by-同舟云学术

Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Published:2009 Issue: Volume:2009 Page:1-18
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Klin-eam Chakkrid¹,Suantai Suthep¹,Takahashi Wataru²

Affiliation:

1. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

2. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan

Abstract

We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space.

Funder

Japan Society for the Promotion of Science

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2009/649831.pdf

Reference24 articles.

1. Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces

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