Open Access Research

Nonlinear algorithms approach to split common solution problems

Zhenhua He1 and Wei-Shih Du2*

Author Affiliations

1 Department of Mathematics, Honghe University, Yunnan, 661100, China

2 Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan

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Fixed Point Theory and Applications 2012, 2012:130 doi:10.1186/1687-1812-2012-130

Published: 6 August 2012

Abstract

In this paper, we introduce some new iterative algorithms for the split common solution problems for equilibrium problems and fixed point problems of nonlinear mappings. Some examples illustrating our results are also given.

MSC: 47J25, 47H09, 65K10.

Keywords:
fixed point problem; iterative algorithm; equilibrium problem; split common solution problem