Random Ishikawa iteration scheme of two random operators

Abdul Rahim Khan*, Abdul Aziz Domlo

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we prove the existence of a random common fixed point of two continuous contractive random operators on a separable Banach space. We introduce the random modified Ishikawa iteration scheme and use our existence result to study weak and strong convergence of this scheme to a unique random common fixed point of two random asymptotically quasi-nonexpansive operator. Our work extends and improves some results from the current literature.

Original languageEnglish
Title of host publicationProceedings of the World Congress on Engineering 2011, WCE 2011
Pages165-169
Number of pages5
StatePublished - 2011

Publication series

NameProceedings of the World Congress on Engineering 2011, WCE 2011
Volume1

Keywords

  • Banach space
  • Measurable function
  • Random Ishikawa iteration
  • Random common fixed point
  • Random operators

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering
  • Applied Mathematics

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