Viscosity approximation methods for nonexpansive multimaps in Banach spaces

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition "Tz = "{z}"" on the map T.

Original languageEnglish
Pages (from-to)1165-1176
Number of pages12
JournalActa Mathematica Sinica, English Series
Volume26
Issue number6
DOIs
Publication statusPublished - May 19 2010

Fingerprint

Multimap (map)
Viscosity Approximation Method
Banach spaces
Banach space
Viscosity Approximation
Viscosity
Strong Convergence
Fixed point
Converge
Iteration

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Viscosity approximation methods for nonexpansive multimaps in Banach spaces. / Zegeye, Habtu; Shahzad, Naseer.

In: Acta Mathematica Sinica, English Series, Vol. 26, No. 6, 19.05.2010, p. 1165-1176.

Research output: Contribution to journalArticle

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