Nihonkai Mathematical Journal

The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces

Wataru Takahashi

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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.

Article information

Source
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 67-88.

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

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1505419742

Mathematical Reviews number (MathSciNet)
MR3698242

Zentralblatt MATH identifier
06820448

Subjects
Primary: 47H05: Monotone operators and generalizations
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.

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

Citation

Takahashi, Wataru. The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces. Nihonkai Math. J. 27 (2016), no. 1-2, 67--88. https://projecteuclid.org/euclid.nihmj/1505419742


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