### Abstract

We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems im- prove most of the results that have been proved for this important class of nonlinear operators.

Original language | English |
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Pages (from-to) | 773-788 |

Number of pages | 16 |

Journal | Bulletin of the Korean Mathematical Society |

Volume | 51 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

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**Approximation methods for a common minimum-norm point of a solution of variational inequality and fixed point problems in Banach spaces.** / Shahzad, N.; Zegeye, H.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Approximation methods for a common minimum-norm point of a solution of variational inequality and fixed point problems in Banach spaces

AU - Shahzad, N.

AU - Zegeye, H.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems im- prove most of the results that have been proved for this important class of nonlinear operators.

AB - We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems im- prove most of the results that have been proved for this important class of nonlinear operators.

UR - http://www.scopus.com/inward/record.url?scp=84901644430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901644430&partnerID=8YFLogxK

U2 - 10.4134/BKMS.2014.51.3.773

DO - 10.4134/BKMS.2014.51.3.773

M3 - Article

VL - 51

SP - 773

EP - 788

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

IS - 3

ER -