## Journal of Applied Mathematics

- J. Appl. Math.
- Volume 2013, Special Issue (2013), Article ID 821737, 7 pages.

### Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically $k$-Strict Pseudocontractive in the Intermediate Sense

H. Zegeye and N. Shahzad

#### Abstract

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically ${k}_{i}$-strict pseudocontractive mappings in the intermediate sense for $i=1,2,\dots ,N$. The projection of ${x}_{0}$ onto the intersection of closed convex sets ${C}_{n}$ and ${Q}_{n}$ for each $n\ge 1$ is not required. Moreover, the restriction that the interior of common fixed points is nonempty is not required. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

#### Article information

**Source**

J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 821737, 7 pages.

**Dates**

First available in Project Euclid: 14 March 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1394807687

**Digital Object Identifier**

doi:10.1155/2013/821737

**Mathematical Reviews number (MathSciNet)**

MR3064879

**Zentralblatt MATH identifier**

1266.47100

#### Citation

Zegeye, H.; Shahzad, N. Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically $k$ -Strict Pseudocontractive in the Intermediate Sense. J. Appl. Math. 2013, Special Issue (2013), Article ID 821737, 7 pages. doi:10.1155/2013/821737. https://projecteuclid.org/euclid.jam/1394807687