Best approximation and fixed points in strong M-starshaped metric spaces

We introduced strong M-starshaped metric spaces. For these spaces, we obtained two fixed-point theorems generalizing a result of W. G. Dotson, and two theorems extending and subsuming several known results on the existence of fixed points of best approximation.

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Main Author: M. A. Al-Thagafi
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000779
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author M. A. Al-Thagafi
author_facet M. A. Al-Thagafi
author_sort M. A. Al-Thagafi
collection DOAJ
description We introduced strong M-starshaped metric spaces. For these spaces, we obtained two fixed-point theorems generalizing a result of W. G. Dotson, and two theorems extending and subsuming several known results on the existence of fixed points of best approximation.
format Article
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institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 1995-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e19d0cd4cc78483b8c3cd9fa32baebe12025-08-20T02:21:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118361361610.1155/S0161171295000779Best approximation and fixed points in strong M-starshaped metric spacesM. A. Al-Thagafi0Department of Mathematics, King Abdul Aziz University, P. O. Box 30608, Jeddah 21487, Saudi ArabiaWe introduced strong M-starshaped metric spaces. For these spaces, we obtained two fixed-point theorems generalizing a result of W. G. Dotson, and two theorems extending and subsuming several known results on the existence of fixed points of best approximation.http://dx.doi.org/10.1155/S0161171295000779best approximationstrong M-starshaped metric spacesfixed points.
spellingShingle M. A. Al-Thagafi
Best approximation and fixed points in strong M-starshaped metric spaces
International Journal of Mathematics and Mathematical Sciences
best approximation
strong M-starshaped metric spaces
fixed points.
title Best approximation and fixed points in strong M-starshaped metric spaces
title_full Best approximation and fixed points in strong M-starshaped metric spaces
title_fullStr Best approximation and fixed points in strong M-starshaped metric spaces
title_full_unstemmed Best approximation and fixed points in strong M-starshaped metric spaces
title_short Best approximation and fixed points in strong M-starshaped metric spaces
title_sort best approximation and fixed points in strong m starshaped metric spaces
topic best approximation
strong M-starshaped metric spaces
fixed points.
url http://dx.doi.org/10.1155/S0161171295000779
work_keys_str_mv AT maalthagafi bestapproximationandfixedpointsinstrongmstarshapedmetricspaces