Probabilistic α-min Ciric type contraction results using a control function
The purpose of the paper is to propose some new probabilistic α-minimum Ciric type contraction results. Our results are established on probabilistic generalization of metric spaces or probabilistic metric spaces. The use of class of control fucntion φ which was introduced by Choudhury et al. in 2008...
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AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020082/fulltext.html |
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doaj-bebe195457994bf1b4b5a0ff281745432020-11-25T01:30:04ZengAIMS PressAIMS Mathematics2473-69882020-01-01521186119810.3934/math.2020082Probabilistic α-min Ciric type contraction results using a control functionSamir Kumar Bhandari0Dhananjay Gopal1Pulak Konar21 Department of Mathematics, Bajkul Milani Mahavidyalaya, P. O–Kismat Bajkul, Dist–Purba Medinipur, Bajkul, West Bengal, 721655, India2 Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India3 Department of Mathematics, Amity University, Kadampukur, 24PGS(N), Kolkata, West Bengal, 700135, IndiaThe purpose of the paper is to propose some new probabilistic α-minimum Ciric type contraction results. Our results are established on probabilistic generalization of metric spaces or probabilistic metric spaces. The use of class of control fucntion φ which was introduced by Choudhury et al. in 2008 helped us to deduce the result. We also get a corollary. Some illustrative examples are given here. Our results are supported by those examples. Lastly an application of integral equation is given. An important conclusion is also made at the end of the results.https://www.aimspress.com/article/10.3934/math.2020082/fulltext.htmlpm-spaceciric type contractioncauchy sequencefixed pointaltering distance function |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Samir Kumar Bhandari Dhananjay Gopal Pulak Konar |
| spellingShingle |
Samir Kumar Bhandari Dhananjay Gopal Pulak Konar Probabilistic α-min Ciric type contraction results using a control function AIMS Mathematics pm-space ciric type contraction cauchy sequence fixed point altering distance function |
| author_facet |
Samir Kumar Bhandari Dhananjay Gopal Pulak Konar |
| author_sort |
Samir Kumar Bhandari |
| title |
Probabilistic α-min Ciric type contraction results using a control function |
| title_short |
Probabilistic α-min Ciric type contraction results using a control function |
| title_full |
Probabilistic α-min Ciric type contraction results using a control function |
| title_fullStr |
Probabilistic α-min Ciric type contraction results using a control function |
| title_full_unstemmed |
Probabilistic α-min Ciric type contraction results using a control function |
| title_sort |
probabilistic α-min ciric type contraction results using a control function |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2020-01-01 |
| description |
The purpose of the paper is to propose some new probabilistic α-minimum Ciric type contraction results. Our results are established on probabilistic generalization of metric spaces or probabilistic metric spaces. The use of class of control fucntion φ which was introduced by Choudhury et al. in 2008 helped us to deduce the result. We also get a corollary. Some illustrative examples are given here. Our results are supported by those examples. Lastly an application of integral equation is given. An important conclusion is also made at the end of the results. |
| topic |
pm-space ciric type contraction cauchy sequence fixed point altering distance function |
| url |
https://www.aimspress.com/article/10.3934/math.2020082/fulltext.html |
| work_keys_str_mv |
AT samirkumarbhandari probabilisticamincirictypecontractionresultsusingacontrolfunction AT dhananjaygopal probabilisticamincirictypecontractionresultsusingacontrolfunction AT pulakkonar probabilisticamincirictypecontractionresultsusingacontrolfunction |
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