### Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of a set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for an α-inverse strongly monotone mapping in Banach spaces.

Original language | English |
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Pages (from-to) | 2136-2146 |

Number of pages | 11 |

Journal | Nonlinear Analysis, Theory, Methods and Applications |

Volume | 72 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Feb 1 2010 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

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**A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces.** / Zegeye, Habtu.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces

AU - Zegeye, Habtu

PY - 2010/2/1

Y1 - 2010/2/1

N2 - In this paper, we introduce an iterative process which converges strongly to a common element of a set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for an α-inverse strongly monotone mapping in Banach spaces.

AB - In this paper, we introduce an iterative process which converges strongly to a common element of a set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for an α-inverse strongly monotone mapping in Banach spaces.

UR - http://www.scopus.com/inward/record.url?scp=71549128413&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71549128413&partnerID=8YFLogxK

U2 - 10.1016/j.na.2009.10.014

DO - 10.1016/j.na.2009.10.014

M3 - Article

VL - 72

SP - 2136

EP - 2146

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 3-4

ER -