COMMON FIXED POINT THEOREM FOR A PAIR OF WEAKLY COMPATIBLE SELF-MAPPINGS IN FUZZY METRIC SPACE USING (CLRG) PROPERTY

Authors

  • Apparao Nemaala Dr. B.R. Ambedkar Open University Hyderabad (TS)
  • V. Dharmaiah V. Dharmaiah Osmania University Hyderabad (TS)

DOI:

https://doi.org/10.24297/jam.v10i5.1616

Keywords:

Fuzzy Metric Space, Weakly Compatible Mappings, E.A Property and (CLRg) Property.

Abstract

In this paper we prove a common fixed point theorem for a pair of weakly compatible self-mappings in fuzzy metric space by using (CLRg) property. The result is extended for two finite families of self-mappings in
fuzzy metric space by using the concept of pairwise commuting. An example is provided which demonstrates the validity of main theorem.

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Author Biographies

Apparao Nemaala, Dr. B.R. Ambedkar Open University Hyderabad (TS)

Department of Mathematics

V. Dharmaiah V. Dharmaiah, Osmania University Hyderabad (TS)

Department of Mathematics

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Published

2015-05-04

How to Cite

Nemaala, A., & V. Dharmaiah, V. D. (2015). COMMON FIXED POINT THEOREM FOR A PAIR OF WEAKLY COMPATIBLE SELF-MAPPINGS IN FUZZY METRIC SPACE USING (CLRG) PROPERTY. JOURNAL OF ADVANCES IN MATHEMATICS, 10(5), 3486–3492. https://doi.org/10.24297/jam.v10i5.1616

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