Strong convergence theorem for an infinite family of demimetric mappings in a hilbert space

Hidetoshi Komiya, Wataru Takahashi

Research output: Contribution to journalArticle

Abstract

In this paper, using the idea of Halpern iteration, we prove a strong convergence theorem for finding a common fixed point of an infinite family of demimetric mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.

Original languageEnglish
JournalJournal of Convex Analysis
Volume24
Issue number4
Publication statusPublished - 2017

Fingerprint

Strong Theorems
Strong Convergence
Convergence Theorem
Hilbert space
Common Fixed Point
Iteration
Family

Keywords

  • Common fixed point
  • Demimetric mapping
  • Halpern iteration
  • Inverse strongly monotone mapping
  • Metric projection

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

Cite this

Strong convergence theorem for an infinite family of demimetric mappings in a hilbert space. / Komiya, Hidetoshi; Takahashi, Wataru.

In: Journal of Convex Analysis, Vol. 24, No. 4, 2017.

Research output: Contribution to journalArticle

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