Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9737062, 9 pages
https://doi.org/10.1155/2017/9737062
Research Article

A Simultaneous Iteration Algorithm for Solving Extended Split Equality Fixed Point Problem

1School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, China
2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

Correspondence should be addressed to Meixia Li

Received 16 January 2017; Accepted 20 March 2017; Published 6 April 2017

Academic Editor: Roberto Fedele

Copyright © 2017 Meixia Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study a kind of split equality fixed point problem which is an extension of split equality problem. We propose a kind of simultaneous iterative algorithm with a way of selecting the step length which does not need any a priori information about the operator norms and prove that the sequences generated by the iterative method converge weakly to the solution of this problem. Some numerical results are shown to confirm the feasibility and efficiency of the proposed methods.