Common Fixed Point Theorem for Rational Inequality in Fuzzy Metric Space Under C-Class Function and Implicit Function

Authors

  • Umashankar Singh Assistant Professor, Department of Applied Sciences, Sagar Institutes of Research & Technology Excellence, Bhopal, Madhya Pradesh, India
  • Manoj Sharma Assistant Professor, Department of Applied Sciences, Oriental Institutes of Science & Technology, Bhopal, Madhya Pradesh, India
  • Arifa Khan Assistant Professor, Department of Applied Sciences, Sagar Institutes of Research & Technology, Bhopal, Madhya Pradesh, India
  • Paresh Rakhe Assistant Professor, Department of Applied Sciences, Sagar Institutes of Research & Technology Excellence, Bhopal, Madhya Pradesh, India

Keywords:

Common fixed point, E.A property, Implicit function, C-Class Function, Weakly compatible mapping

Abstract

The purpose of this study is to establish some fixed point results for fuzzy metric space satisfying certain rational inequality under C-Class function along with Implicit function. The idea of C-Class functions in introduced in the process of building a fuzzy metric space that associate with implicit functions. In this way, our results extend and generalize and improve results of fuzzy metric space of previously published.

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Published

2023-07-31

Issue

Vol. 10 No. 1 (2023): Research & Reviews: Discrete Mathematical Structures

Section

Review Article