Fixed point theorems for densifying mappings and compact mappings

Fixed point theorems for densifying mappings and compact mappings

The purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. The results of this note generalize the results of Bai...

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Main Authors: Zeqing Liu, Li Wang, Shin Min Kang, Yong Soo Kim
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202204093
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spelling doaj-2a53aed3f38745b583be34e6143dde882020-11-24T22:34:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132318318810.1155/S0161171202204093Fixed point theorems for densifying mappings and compact mappingsZeqing Liu0Li Wang1Shin Min Kang2Yong Soo Kim3Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaThe purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. The results of this note generalize the results of Bailey (1966) and Liu (1994).http://dx.doi.org/10.1155/S0161171202204093
collection DOAJ
language English
format Article
sources DOAJ
author Zeqing Liu
Li Wang
Shin Min Kang
Yong Soo Kim
spellingShingle Zeqing Liu
Li Wang
Shin Min Kang
Yong Soo Kim
Fixed point theorems for densifying mappings and compact mappings
International Journal of Mathematics and Mathematical Sciences
author_facet Zeqing Liu
Li Wang
Shin Min Kang
Yong Soo Kim
author_sort Zeqing Liu
title Fixed point theorems for densifying mappings and compact mappings
title_short Fixed point theorems for densifying mappings and compact mappings
title_full Fixed point theorems for densifying mappings and compact mappings
title_fullStr Fixed point theorems for densifying mappings and compact mappings
title_full_unstemmed Fixed point theorems for densifying mappings and compact mappings
title_sort fixed point theorems for densifying mappings and compact mappings
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2002-01-01
description The purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. The results of this note generalize the results of Bailey (1966) and Liu (1994).
url http://dx.doi.org/10.1155/S0161171202204093
work_keys_str_mv AT zeqingliu fixedpointtheoremsfordensifyingmappingsandcompactmappings
AT liwang fixedpointtheoremsfordensifyingmappingsandcompactmappings
AT shinminkang fixedpointtheoremsfordensifyingmappingsandcompactmappings
AT yongsookim fixedpointtheoremsfordensifyingmappingsandcompactmappings
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