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

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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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-08-23
DOI
https://doi.org/10.52783/cana.v31.1393
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

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

Chiranjeevi Perala
Communications on Applied Nonlinear Analysis
Fixed Point Theorems Analysis
article

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

Chiranjeevi Perala
article en

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.

Communications on Applied Nonlinear AnalysisVol. 31(7s)
Openalex Percentile: Top 75%
Fixed Point Theorems Analysis
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