Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2010; 25(3): 419-426

Printed September 1, 2010

https://doi.org/10.4134/CKMS.2010.25.3.419

Copyright © The Korean Mathematical Society.

Three-step iterative algorithms for fixed point problems and variational inclusion problems

Sun Young Cho and Yan Hao

Gyeongsang National University, Zhejiang Ocean University

Abstract

In this paper, a three-step iterative method is considered for finding a common element in the set of fixed points of a non-expansive mapping and in the set of solutions of a variational inclusion problem in a real Hilbert space.

Keywords: non-expansive mapping, fixed point, three-step iterative algorithm, resolvent operator

MSC numbers: 47H09, 47J25