### Abstract

In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings. We prove that the sequence of iterates generated converges strongly to a common fixed point of a finite family of multi-valued Bregman nonexpansive mappings in reflexive real Banach spaces. MSC:47H05, 47H09, 47H10, 47J25, 49J40, 90C25.

Original language | English |
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Article number | 152 |

Journal | Fixed Point Theory and Applications |

Volume | 2014 |

Issue number | 1 |

DOIs | |

Publication status | Published - Dec 18 2014 |

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### All Science Journal Classification (ASJC) codes

- Geometry and Topology
- Applied Mathematics

### Cite this

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**Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings.** / Shahzad, Naseer; Zegeye, Habtu.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings

AU - Shahzad, Naseer

AU - Zegeye, Habtu

PY - 2014/12/18

Y1 - 2014/12/18

N2 - In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings. We prove that the sequence of iterates generated converges strongly to a common fixed point of a finite family of multi-valued Bregman nonexpansive mappings in reflexive real Banach spaces. MSC:47H05, 47H09, 47H10, 47J25, 49J40, 90C25.

AB - In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings. We prove that the sequence of iterates generated converges strongly to a common fixed point of a finite family of multi-valued Bregman nonexpansive mappings in reflexive real Banach spaces. MSC:47H05, 47H09, 47H10, 47J25, 49J40, 90C25.

UR - http://www.scopus.com/inward/record.url?scp=84932650783&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84932650783&partnerID=8YFLogxK

U2 - 10.1186/1687-1812-2014-152

DO - 10.1186/1687-1812-2014-152

M3 - Article

VL - 2014

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

SN - 1687-1820

IS - 1

M1 - 152

ER -