Invertis Journal of Science & Technology
  • Year: 2018
  • Volume: 11
  • Issue: 3

Common Fixed Point Theorems in Fuzzy Metric Space

1Reseach Scholar, Department of Applied & Humanities, Invertis University, Bareilly, Uttar Pradesh, India

2Associate Professor & Head, Department of Applied & Humanities, Invertis University, Bareilly, Uttar Pradesh, India

3Professor & Head, P.G. Department of Mathematics, Govt. Madhav Science P.G. College, Ujjain, Madhya Pradesh, India

*Corresponding author email id: sagnihotri718@gmail.com

Online published on 29 November, 2018.

Abstract

This paper proves a theorem on common fixed point for five self-mappings in fuzzy metric space, using weakly compatibility, sub compatibility with subsequentially continuous, and generalising the result of Singh and Jain [18] and also we cite an example in support of our result. Our result also extends the result of Jain, Badshah and Gupta [7].

Keywords

Common fixed point, Fuzzy metric space, Weakly compatible mappings, Sub-compatible mappings, Reciprocally continuous, Sequentially continuous