Results on Expansion Maps in Fuzzy Menger Space via Property-(E.A) and (E.A)-like Property

Authors

  • Kuruva Satyanna M.A.L.D. Govt. Degree College, Gadwal, Palamoor university, Mahaboobnagar.
  • V Srinivas UCS, Osmania university, Hyderabad.

DOI:

https://doi.org/10.23755/rm.v51i0.1005

Keywords:

Property-(E.A), (E.A)-Like property, Occasionally weakly compatible mappings, fuzzy menger space

Abstract

The main goal of this paper is to establish two results in fuzzy menger space by using property-(E.A), (E.A) like property and occasionally weakly compatible mappings. Furthermore these results are justified with proper examples.These are generalization of the theorem proved by Diwan and others. 

Author Biographies

  • Kuruva Satyanna, M.A.L.D. Govt. Degree College, Gadwal, Palamoor university, Mahaboobnagar.

    Assistant professor,

    Department of Mathematics,

    M.A.L.D. Govt. Degree College, Gadwal, Palamoor university, Mahaboobnagar.

  • V Srinivas, UCS, Osmania university, Hyderabad.

    Associate professor,

    Department of Maathematics,

    UCS, Osmania university, Hyderabad.

References

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Karl Menger and Abe Sklar. "On probabilistic metrics and numerical metrics with probability. I." Czechoslovak Mathematical Journal, 9:459–466, 1959.

Pathak and Rashmi. "Fixed point result for p-1 compatible in fuzzy Menger space." Asian Journal of Fuzzy and Applied Mathematics, 2, 2014.

A. D. Singh, Ruchi Singh, and Vanita Ben Dhagat. "Fixed point results in fuzzy Menger space." Journal of Applied Mathematics and Bioinformatics, 5:67–75, 2015.

A. K. Thakur, S.D. Diwan, and Hiral Raja. "Fixed points of expansion mappings in fuzzy Menger spaces with CLRS property." 2016.

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Bonuga Vijayabaskerreddy and Veladi Srinivasi. "Some extractions of fixed point theorems using various ea properties." Communications in Mathematics and Applications, 12:445–456, 2021.

Rohen Y. Singh and L. Premila Devi. "Some fixed point theorems of semi-compatible and occasionally weakly compatible mappings in Menger space." American Journal of Applied Mathematics and Statistics, 3:29–33, 2015.

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Published

2024-01-01

Issue

Vol. 51 (2024)

Section

Volume 51-2024

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