Viscosity approximation methods for the multiple-set split equality common fixed-point problems of demicontractive mappings

Volume 10, Issue 8, pp 4254--4268 http://dx.doi.org/10.22436/jnsa.010.08.20

Publication Date: August 20, 2017 Submission Date: May 19, 2017

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Authors

Yaqin Wang - Department of Mathematics, Shaoxing University, Shaoxing 312000, China. Xiaoli Fang - Department of Mathematics, Shaoxing University, Shaoxing 312000, China.

Abstract

In this paper, we consider a new parallel algorithm combining viscosity approximation methods to approximate the multiple-set split common fixed point problem governed by demicontractive mappings, and get the generated sequence converges strongly to a solution of this problem. The results obtained in this paper generalize and improve the recent ones announced by many others.

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Keywords

• Multiple-set split equality common fixed-point problem
• demicontractive mapping
• strong convergence.

MSC

•  47H09
•  47H10
•  47J05
•  54H25

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