Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications-Reference-Cited by-同舟云学术

Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

Published:2013 Issue: Volume:2013 Page:1-12
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Wang Zi-Ming¹,Kumam Poom²

Affiliation:

1. Department of Foundation, Shandong Yingcai University, Jinan 250104, China

2. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thrung Khru, Bangkok 10140, Thailand

Abstract

Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied.

Funder

National Research University Project of Thailand

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/524795.pdf

Reference59 articles.

1. Strong convergence theorems for a family non-expansive mappings and application to generalized mixed equilibrium problems systems

2. Convergence theorems based on the shrinking projection method for hemi-relatively nonexpansive mappings, variational inequalities and equilibrium problems

3. A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping

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