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2016 The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces
Wataru Takahashi
Nihonkai Math. J. 27(1-2): 67-88 (2016).

Abstract

In this paper, we consider the split common fixed point problem with families of mappings in Banach spaces. Then using the hybrid method and the shrinking projection method, we prove strong convergence theorems for finding a solution of the split common null point problem with families of mappings in Banach spaces.

Citation

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Wataru Takahashi. "The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces." Nihonkai Math. J. 27 (1-2) 67 - 88, 2016.

Information

Received: 4 January 2016; Revised: 8 April 2016; Published: 2016
First available in Project Euclid: 14 September 2017

zbMATH: 06820448
MathSciNet: MR3698242

Subjects:
Primary: 47H05
Secondary: 47H09

Keywords: duality mapping , fixed point , ‎hybrid method , metric resolvent , shrinking projection method , split common null point problem

Rights: Copyright © 2016 Niigata University, Department of Mathematics

Vol.27 • No. 1-2 • 2016
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