Common fixed point theorem for noncompatible maps in probabilistic metric space
In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps.
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University Constantin Brancusi of Targu-Jiu
2013-12-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | http://www.utgjiu.ro/math/sma/v08/p05.pdf |
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doaj-e12aabecb279456db6c0a28ce38b92d32020-11-24T22:47:11ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982013-12-018 (2013)5157 Common fixed point theorem for noncompatible maps in probabilistic metric spaceSuneel Kumar0Sunny Chauhan1B. D. Pant2Government Degree Collage, Champawat, Uttarakhand, India.Department of Mathematics, R.H. Government Postgraduate College, Kashipur, Uttarakhand, India Government Degree College, Champawat, Uttarakhand, India In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps. http://www.utgjiu.ro/math/sma/v08/p05.pdfProbabilistic metric spaceNoncompatible mapsWeakly compatible mapsImplicit relationProperty (E.A) |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Suneel Kumar Sunny Chauhan B. D. Pant |
| spellingShingle |
Suneel Kumar Sunny Chauhan B. D. Pant Common fixed point theorem for noncompatible maps in probabilistic metric space Surveys in Mathematics and its Applications Probabilistic metric space Noncompatible maps Weakly compatible maps Implicit relation Property (E.A) |
| author_facet |
Suneel Kumar Sunny Chauhan B. D. Pant |
| author_sort |
Suneel Kumar |
| title |
Common fixed point theorem for noncompatible maps in probabilistic metric space |
| title_short |
Common fixed point theorem for noncompatible maps in probabilistic metric space |
| title_full |
Common fixed point theorem for noncompatible maps in probabilistic metric space |
| title_fullStr |
Common fixed point theorem for noncompatible maps in probabilistic metric space |
| title_full_unstemmed |
Common fixed point theorem for noncompatible maps in probabilistic metric space |
| title_sort |
common fixed point theorem for noncompatible maps in probabilistic metric space |
| publisher |
University Constantin Brancusi of Targu-Jiu |
| series |
Surveys in Mathematics and its Applications |
| issn |
1843-7265 1842-6298 |
| publishDate |
2013-12-01 |
| description |
In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps. |
| topic |
Probabilistic metric space Noncompatible maps Weakly compatible maps Implicit relation Property (E.A) |
| url |
http://www.utgjiu.ro/math/sma/v08/p05.pdf |
| work_keys_str_mv |
AT suneelkumar commonfixedpointtheoremfornoncompatiblemapsinprobabilisticmetricspace AT sunnychauhan commonfixedpointtheoremfornoncompatiblemapsinprobabilisticmetricspace AT bdpant commonfixedpointtheoremfornoncompatiblemapsinprobabilisticmetricspace |
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1725682636588843008 |