Simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings

Volume 10, Issue 1, pp 154--165 http://dx.doi.org/10.22436/jnsa.010.01.15

Publication Date: January 26, 2017 Submission Date: November 12, 2016

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Authors

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

Abstract

In this paper, we investigate a new simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings in real Hilbert spaces and obtain a strong convergence result with no compactness assumptions on the spaces or the mappings and with no extra conditions on the fixed point sets. The results obtained in this paper generalize and improve the recent ones announced by many others.

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Keywords

• Split equality fixed-point problem
• demicontractive mapping
• strong convergence
• iterative algorithm.

MSC

•  47H09
•  47H10
•  47J05
•  49J53

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