Some Outcomes using Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous in Multiplicative Metric Space

Thirupathi Thota; Srinivas Veladi

doi:10.17485/IJST/v17i13.308

Article

Some Outcomes using Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous in Multiplicative Metric Space

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i13.308

Year: 2024, Volume: 17, Issue: 13, Pages: 1340-1348

Original Article

Some Outcomes using Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous in Multiplicative Metric Space

Thirupathi Thota^1*, Srinivas Veladi²

¹Department of Mathematics, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, India
²Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, India

*Corresponding Author
Email: [email protected]

Received Date:03 February 2024, Accepted Date:06 February 2024, Published Date:22 March 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: The purpose of this paper is to establish two common fixed point theorems in Multiplicative Metric Space (MMS). Method: By utilizing the conditions Conditionally Sequentially Absorbing (CSA) and Pseudo Reciprocally Continuous (PRC) mappings. Findings: Two unique common fixed point theorems are generated and supported it with relevant examples. Novelty: In the first theorem, we use the concept CSA and PRC mappings. In the second theorem, we use the notion of CSA, non-compatible and PRC mappings. These conditions are weaker than the existing conditions like weakly compatible mappings which generalizes the theorem of Monika Verma, P Kumar and Andnawneet Hooda.

Keywords

Multiplicative Metric Space (MMS), fixed point, Psudo Reciprocally Continuous (PRC), Conditionally Sequential Absorbing (CSA), Occasionally Weakly Compatible (OWC) mappings

References

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Copyright

© 2024 Thota & Veladi. 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)