Probabilistic α-min Ciric type contraction results using a control function

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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Bibliographic Details
Main Authors: Samir Kumar Bhandari, Dhananjay Gopal, Pulak Konar
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
pm-space
ciric type contraction
cauchy sequence
fixed point
altering distance function
Online Access:https://www.aimspress.com/article/10.3934/math.2020082/fulltext.html
Description
Summary: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.
ISSN:2473-6988

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