Hybrid Iterations for the Fixed Point Problem and Variational Inequalities

Li-Jun Zhu; Shin Min Kang; Zhangsong Yao; Young Chel Kwun

doi:10.1155/2014/728363

Journal of Applied Mathematics (Jan 2014)

Hybrid Iterations for the Fixed Point Problem and Variational Inequalities

Li-Jun Zhu,
Shin Min Kang,
Zhangsong Yao,
Young Chel Kwun

Affiliations

Li-Jun Zhu: School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, China
Shin Min Kang: Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
Zhangsong Yao: School of Mathematics & Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, China
Young Chel Kwun: Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea

DOI: https://doi.org/10.1155/2014/728363
Journal volume & issue: Vol. 2014

Abstract

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A hybrid iterative algorithm with Meir-Keeler contraction is presented for solving the fixed point problem of the pseudocontractive mappings and the variational inequalities. Strong convergence analysis is given as limn→∞d(STxn,TSxn).

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

About the journal