Fixed Points by Ishikawa Iterations

Abstract

This paper, introduces a class of mapping called generalized quasi- nonexpansive mappings in a Hilbert space. It is shown that a certain Ishikawa iterative process generated by a continuous generalized quasi-nonexpansive and monotone mapping on a compact and convex subset of a Hilbert space always converges strongly to a fixed point of the mapping without any precondition.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1989
Accession Number
ADA217493

Entities

People

  • Jen-chih Yao

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

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  • Abstracts
  • California
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  • Hilbert Space
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numbers
  • Operations Research
  • Real Numbers
  • Sequences
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Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space