### 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,., N. The projection of x 0 onto the intersection of closed convex sets C n and Q n for each n ≥ 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.

Original language | English |
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Article number | 821737 |

Journal | Journal of Applied Mathematics |

Volume | 2013 |

DOIs | |

Publication status | Published - Jul 1 2013 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

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**Approximation analysis for a common fixed point of finite family of mappings which are asymptotically k-strict pseudocontractive in the intermediate sense.** / Zegeye, H.; Shahzad, N.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Approximation analysis for a common fixed point of finite family of mappings which are asymptotically k-strict pseudocontractive in the intermediate sense

AU - Zegeye, H.

AU - Shahzad, N.

PY - 2013/7/1

Y1 - 2013/7/1

N2 - 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,., N. The projection of x 0 onto the intersection of closed convex sets C n and Q n for each n ≥ 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.

AB - 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,., N. The projection of x 0 onto the intersection of closed convex sets C n and Q n for each n ≥ 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.

UR - http://www.scopus.com/inward/record.url?scp=84879338691&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879338691&partnerID=8YFLogxK

U2 - 10.1155/2013/821737

DO - 10.1155/2013/821737

M3 - Article

AN - SCOPUS:84879338691

VL - 2013

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

SN - 1110-757X

M1 - 821737

ER -