### Abstract

Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.

Original language | English |
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Pages (from-to) | 531-538 |

Number of pages | 8 |

Journal | Nonlinear Analysis, Theory, Methods and Applications |

Volume | 71 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jul 1 2009 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

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*Nonlinear Analysis, Theory, Methods and Applications*, vol. 71, no. 1-2, pp. 531-538. https://doi.org/10.1016/j.na.2008.10.091

**Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings.** / Zegeye, Habtu; Shahzad, Naseer.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings

AU - Zegeye, Habtu

AU - Shahzad, Naseer

PY - 2009/7/1

Y1 - 2009/7/1

N2 - Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.

AB - Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.

UR - http://www.scopus.com/inward/record.url?scp=64849096134&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=64849096134&partnerID=8YFLogxK

U2 - 10.1016/j.na.2008.10.091

DO - 10.1016/j.na.2008.10.091

M3 - Article

VL - 71

SP - 531

EP - 538

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 1-2

ER -