Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

O. A. Daman, H. Zegeye

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

Original languageEnglish
Article number405315
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2012
DOIs
Publication statusPublished - Oct 29 2012

Fingerprint

Pseudocontractive Mapping
Strong Theorems
Common Fixed Point
Strong Convergence
Convergence Theorem
Lipschitz Mapping
Ishikawa Iteration
Nonlinear Mapping
Iteration Method
Compactness
Family
Class

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

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