Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2011; 26(3): 473-482

Printed September 1, 2011

https://doi.org/10.4134/CKMS.2011.26.3.473

Copyright © The Korean Mathematical Society.

On the convergence of hybrid projection methods for asymptotically pseudocontractive mappings in the intermediate sense

Sun Young Cho, Shin Min Kang, and Xiaolong Qin

Gyeongsang National University, Gyeongsang National University, Hangzhou Normal University

Abstract

In this paper, mappings which are asymptotically pseudocontractive in the intermediate sense are considered based on a hybrid projection method. Strong convergence theorems of fixed points are established in the framework of Hilbert spaces.

Keywords: asymptotically nonexpansive mapping, asymptotically pseudocontractive mapping, asymptotically pseudocontractive mapping in the intermediate sense, fixed point

MSC numbers: 47H09, 47H10, 47J25