A viscosity iterative algorithm for split common fixed-point problems of demicontractive mappings

Volume 11, Issue 11, pp 1225--1234 http://dx.doi.org/10.22436/jnsa.011.11.02

Publication Date: August 05, 2018 Submission Date: May 30, 2017 Revision Date: July 17, 2018 Accteptance Date: July 24, 2018

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Authors

Di Gao - Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Republic of Korea. Tae Hwa Kim - Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Republic of Korea. Yaqin Wang - Department of Mathematics, Shaoxing University, Shaoxing 312000, China.

Abstract

In this paper, we firstly introduce a new viscosity cyclic iterative algorithm for the split common fixed-point problem (SCFP) of demicontractive mappings. Next we prove the strong convergence of the sequence generated recursively by such a viscosity cyclic algorithm to a solution of the SCFP, which improves and extends some recent corresponding results.

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Keywords

• Multiple-set split equality common fixed-point problem
• demicontractive mapping
• viscosity cyclic iterative algorithm
• strong convergence

MSC

•  47H05
•  47H09
•  47J10
•  47H20

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