## Journal of Applied Mathematics

- J. Appl. Math.
- Volume 2012, Special Issue (2012), Article ID 902437, 12 pages.

### Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems

D. R. Sahu, Shin Min Kang, and Vidya Sagar

#### Abstract

We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings.

#### Article information

**Source**

J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 902437, 12 pages.

**Dates**

First available in Project Euclid: 3 January 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1357180326

**Digital Object Identifier**

doi:10.1155/2012/902437

**Mathematical Reviews number (MathSciNet)**

MR2948120

**Zentralblatt MATH identifier**

1251.65084

#### Citation

Sahu, D. R.; Kang, Shin Min; Sagar, Vidya. Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems. J. Appl. Math. 2012, Special Issue (2012), Article ID 902437, 12 pages. doi:10.1155/2012/902437. https://projecteuclid.org/euclid.jam/1357180326