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

H. Zegeye, N. Shahzad

Research output: Contribution to journalArticle

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 languageEnglish
Article number821737
JournalJournal of Applied Mathematics
Volume2013
DOIs
Publication statusPublished - Jul 1 2013

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Common Fixed Point
Pseudocontractive Mapping
Nonlinear Mapping
Uniformly continuous
Iterative Process
Approximation
Closed set
Convex Sets
Interior
Intersection
Projection
Restriction
Converge
Theorem
Family
Class

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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