### Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.

Original language | English |
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Pages (from-to) | 3439-3449 |

Number of pages | 11 |

Journal | Applied Mathematics and Computation |

Volume | 216 |

Issue number | 12 |

DOIs | |

Publication status | Published - Aug 15 2010 |

### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics

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## Cite this

Zegeye, H., Ofoedu, E. U., & Shahzad, N. (2010). Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings.

*Applied Mathematics and Computation*,*216*(12), 3439-3449. https://doi.org/10.1016/j.amc.2010.02.054