Prevalent fixed point theorems on MIFM-Spaces using the (\(CLR_{SR}\)) property and implicit function

Volume 25, Issue 4, pp 341--350 http://dx.doi.org/10.22436/jmcs.025.04.04

Publication Date: August 09, 2021 Submission Date: March 29, 2021 Revision Date: June 26, 2021 Accteptance Date: June 30, 2021

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Authors

P. K. Sharma - Department of Mathematics, SVIS, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore-453111, MP, India. Sh. Sharma - Department of Mathematics , Govt. P. G. College, Guna-473001, MP, India.

Abstract

The main goal of this study is to use an implicit function to demonstrate the existence of a common fixed point on modified intuitionistic fuzzy metric spaces by using the concept of common limit range property with regard to two self-mappings \(S\) and \(R\), i.e., (\(CLR_{SR}\)) property. Our primary result is supported by an example that validates the hypotheses of our result. Our findings improve and generalize the findings of Tanveer et al. [M. Tanveer, M. Imdad, D. Gopal, D. K. Patel, Fixed Point Theory Appl., \(\bf 2012\) (2012), 1--12], and other existing results related to this study.

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Keywords

• Common fixed point
• common property (E-A)
• common limit in range property (CLR property)
• implicit function

MSC

•  47H10
•  54H25

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