Common fixed point and invariant approximation results in certain metrizable topological vector spaces

We obtain common fixed point results for generalized I-nonexpansive R-subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.

Bibliographic Details
Main Authors: Vasile Berinde, Nawab Hussain
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/23582
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spelling doaj-59bf6001df8c4f4aa41e19d5cfad9ab32020-11-25T00:54:44ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-03-01200610.1155/FPTA/2006/23582Common fixed point and invariant approximation results in certain metrizable topological vector spacesVasile BerindeNawab HussainWe obtain common fixed point results for generalized I-nonexpansive R-subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.http://dx.doi.org/10.1155/FPTA/2006/23582
collection DOAJ
language English
format Article
sources DOAJ
author Vasile Berinde
Nawab Hussain
spellingShingle Vasile Berinde
Nawab Hussain
Common fixed point and invariant approximation results in certain metrizable topological vector spaces
Fixed Point Theory and Applications
author_facet Vasile Berinde
Nawab Hussain
author_sort Vasile Berinde
title Common fixed point and invariant approximation results in certain metrizable topological vector spaces
title_short Common fixed point and invariant approximation results in certain metrizable topological vector spaces
title_full Common fixed point and invariant approximation results in certain metrizable topological vector spaces
title_fullStr Common fixed point and invariant approximation results in certain metrizable topological vector spaces
title_full_unstemmed Common fixed point and invariant approximation results in certain metrizable topological vector spaces
title_sort common fixed point and invariant approximation results in certain metrizable topological vector spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2006-03-01
description We obtain common fixed point results for generalized I-nonexpansive R-subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.
url http://dx.doi.org/10.1155/FPTA/2006/23582
work_keys_str_mv AT vasileberinde commonfixedpointandinvariantapproximationresultsincertainmetrizabletopologicalvectorspaces
AT nawabhussain commonfixedpointandinvariantapproximationresultsincertainmetrizabletopologicalvectorspaces
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