Common fixed point theorems for weakly compatible mappings in Multiplicative Metric Space

Chiranjeevi Perala

doi:10.52783/cana.v31.1393

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Published: Aug 23, 2024

DOI: https://doi.org/10.52783/cana.v31.1393

Keywords:

Multiplicative Metric Space (MMS), fixed point, semi-compatible mapping, reciprocally continuous mappings , weakly compatible mapping, strongly semi compatible mappings, conditionally reciprocally continuous mappings and and OWC mappings.

Chiranjeevi Perala,Thirupathi Thota, Srinivas Veladi

Abstract

The aim of this paper is to establish three common fixed point theorems in Multiplicative Metric Space (MMS). By utilizing the conditions concepts of non-continuous and non-compatible mappings.The first theoem is generated by applying the concepts of semi-compatible mapping, WCM and reciprocally continuous mappings.The second theorem is established by using the concepts of strongly semi compatible mappings,conditionally reciprocally continuous mappings and and OWC mappings. These conditions are weaker than the existing conditions like compatible mappings and cotinuous which generalizes the theorem of Afrah A. N. Abdou.

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Vol. 31 No. 7s (2024)

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