Common fixed point theorems in \(r s_b\)-distance with property \(C\) and weakly commuting maps in probabilistic \(s_b\)-metric space

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DOI:

https://doi.org/10.26637/MJM0803/0066

Abstract

We establish the conception of \(r s_b\)-distance with property \(C\) on a Menger Probabilistic \(s_b\)-metric space. Moreover, we have proved a few fixed point theorems in a Complete Menger Probabilistic \(s_b\)-metric space. Also we display the Weakly Commuting maps in same space.

Keywords:

Weakly Commuting maps, Menger Probabilistic \( s_b\)-metric space, \(r r_b\)-distance, \(r s_b\)-distance with property \(C\)

Mathematics Subject Classification:

Mathematics
  • A. Kalpana Department of Mathematics, Kandasami Kandar’s College, Velur-638182,Tamil Nadu, India.
  • M. Saraswathi Department of Mathematics, Kandasami Kandar’s College, Velur-638182,Tamil Nadu, India.
  • Pages: 1119-1125
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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Published

01-07-2020

How to Cite

A. Kalpana, and M. Saraswathi. “Common Fixed Point Theorems in \(r s_b\)-Distance With Property \(C\) and Weakly Commuting Maps in Probabilistic \(s_b\)-Metric Space”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1119-25, doi:10.26637/MJM0803/0066.