### Abstract

We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of C_{n+1} from C_{n} for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original language | English |
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Article number | 119 |

Journal | Fixed Point Theory and Applications |

Volume | 2012 |

DOIs | |

Publication status | Published - Dec 1 2012 |

### All Science Journal Classification (ASJC) codes

- Geometry and Topology
- Applied Mathematics

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## Cite this

Zegeye, H., Shahzad, N., & Alghamdi, M. A. (2012). Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems.

*Fixed Point Theory and Applications*,*2012*, [119]. https://doi.org/10.1186/1687-1812-2012-119