Viscosity approximation methods for nonexpansive multimaps in Banach spaces

Habtu Zegeye; Naseer Shahzad

doi:10.1007/s10114-010-7521-0

Viscosity approximation methods for nonexpansive multimaps in Banach spaces

Habtu Zegeye, Naseer Shahzad

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

14 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 language	English
Pages (from-to)	1165-1176
Number of pages	12
Journal	Acta Mathematica Sinica, English Series
Volume	26
Issue number	6
DOIs	https://doi.org/10.1007/s10114-010-7521-0
Publication status	Published - May 19 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1007/s10114-010-7521-0

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AU - Shahzad, Naseer

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N2 - 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.

AB - 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.

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Viscosity approximation methods for nonexpansive multimaps in Banach spaces

Abstract

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