Common fixed points of single-valued and multivalued maps

We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh...

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Main Authors: Yicheng Liu, Jun Wu, Zhixiang Li
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3045
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spelling doaj-158602a73a9d479fa0f27ecfab062abd2020-11-24T20:58:02ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005193045305510.1155/IJMMS.2005.3045Common fixed points of single-valued and multivalued mapsYicheng Liu0Jun Wu1Zhixiang Li2Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha 410073, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaDepartment of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha 410073, ChinaWe define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.http://dx.doi.org/10.1155/IJMMS.2005.3045
collection DOAJ
language English
format Article
sources DOAJ
author Yicheng Liu
Jun Wu
Zhixiang Li
spellingShingle Yicheng Liu
Jun Wu
Zhixiang Li
Common fixed points of single-valued and multivalued maps
International Journal of Mathematics and Mathematical Sciences
author_facet Yicheng Liu
Jun Wu
Zhixiang Li
author_sort Yicheng Liu
title Common fixed points of single-valued and multivalued maps
title_short Common fixed points of single-valued and multivalued maps
title_full Common fixed points of single-valued and multivalued maps
title_fullStr Common fixed points of single-valued and multivalued maps
title_full_unstemmed Common fixed points of single-valued and multivalued maps
title_sort common fixed points of single-valued and multivalued maps
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.
url http://dx.doi.org/10.1155/IJMMS.2005.3045
work_keys_str_mv AT yichengliu commonfixedpointsofsinglevaluedandmultivaluedmaps
AT junwu commonfixedpointsofsinglevaluedandmultivaluedmaps
AT zhixiangli commonfixedpointsofsinglevaluedandmultivaluedmaps
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