Convergence of Ishikawa iterates of generalized nonexpansive mappings

Convergence of Ishikawa iterates of generalized nonexpansive mappings

This paper is concerned with the convergence of Ishikawa iterates of generalized nonexpansive mappings in both uniformly convex and strictly convex Banach spaces. Several fixed point theorems are discussed.

Bibliographic Details
Main Authors: M. K. Ghosh, L. Debnath
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
fixed point theorems
quasi-nonexpansive mappings
uniformly convex Banach spaces
and strictly convex Banach spaces.
Online Access:http://dx.doi.org/10.1155/S0161171297000707
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spelling doaj-414d5478a6c748bbb239563c767c546a2020-11-24T22:57:39ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120351752010.1155/S0161171297000707Convergence of Ishikawa iterates of generalized nonexpansive mappingsM. K. Ghosh0L. Debnath1Department of Mathematics, Narajole Raj College, Midnapore 721211, West Bengal, IndiaDepartment of Mathematics, University of Central Florida, Orlando 32816, Florida, USAThis paper is concerned with the convergence of Ishikawa iterates of generalized nonexpansive mappings in both uniformly convex and strictly convex Banach spaces. Several fixed point theorems are discussed.http://dx.doi.org/10.1155/S0161171297000707fixed point theoremsquasi-nonexpansive mappingsuniformly convex Banach spacesand strictly convex Banach spaces.
collection DOAJ
language English
format Article
sources DOAJ
author M. K. Ghosh
L. Debnath
spellingShingle M. K. Ghosh
L. Debnath
Convergence of Ishikawa iterates of generalized nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences
fixed point theorems
quasi-nonexpansive mappings
uniformly convex Banach spaces
and strictly convex Banach spaces.
author_facet M. K. Ghosh
L. Debnath
author_sort M. K. Ghosh
title Convergence of Ishikawa iterates of generalized nonexpansive mappings
title_short Convergence of Ishikawa iterates of generalized nonexpansive mappings
title_full Convergence of Ishikawa iterates of generalized nonexpansive mappings
title_fullStr Convergence of Ishikawa iterates of generalized nonexpansive mappings
title_full_unstemmed Convergence of Ishikawa iterates of generalized nonexpansive mappings
title_sort convergence of ishikawa iterates of generalized nonexpansive mappings
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1997-01-01
description This paper is concerned with the convergence of Ishikawa iterates of generalized nonexpansive mappings in both uniformly convex and strictly convex Banach spaces. Several fixed point theorems are discussed.
topic fixed point theorems
quasi-nonexpansive mappings
uniformly convex Banach spaces
and strictly convex Banach spaces.
url http://dx.doi.org/10.1155/S0161171297000707
work_keys_str_mv AT mkghosh convergenceofishikawaiteratesofgeneralizednonexpansivemappings
AT ldebnath convergenceofishikawaiteratesofgeneralizednonexpansivemappings
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