Indian Journal of Science and Technology
Year: 2021, Volume: 14, Issue: 47, Pages: 3467-3474
V Srinivas1, K Satyanna2*
1Assistant Professor, Department of Mathematics, University college of Science, Osmania University, 500004, Telangana, India
2Assistant Professor, Department of Mathematics, M.A.L.D. Government Degree College, Palamoor University, Gadwal, Mahaboobnagar, 509125, Telangana
Email: [email protected]
Received Date:19 August 2021, Accepted Date:27 November 2021, Published Date:27 December 2021
Objective/Aim: To generate a fixed point theorem in probabilistic 2-metric space. Method: By employing strong semi compatible mappings and sub sequentially continuous mappings. Findings: Generated unique common fixed point theorem and substantiated with appropriate example. Novelty/ Improvement: The concepts of strong semi compatible mappings and sub sequentially continuous mappings are weaker than existing conditions like weakly compatible mappings which generalizes the theorem of V. K. Gupta, Arihant Jain and Rajesh kumar.
Keywords: Strong semi compatible; sub sequentially continuous; Probabilistic 2metric space; conditional semi compatible; conditional compatible
© 2021 Srinivas & Satyanna. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Published By Indian Society for Education and Environment (iSee)
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