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Weakly Compatible Maps in Probabilistic Metric Spaces


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1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India
     

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In this paper, we prove common fixed point theorems for six mappings from a class of compatible continuous mappings to a larger class of mappings having weakly compatible maps, without appeal to continuity in probabilistic metric space, which generalizes the result of Mishra [11] and Xieping [ 18]. At the end, we provide an example in support of our theorem.

Keywords

Probabilistic Metric Spaces, Weakly Compatible.
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  • Weakly Compatible Maps in Probabilistic Metric Spaces

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Authors

Renu Chugh
Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India
Savita Rathi
Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India

Abstract


In this paper, we prove common fixed point theorems for six mappings from a class of compatible continuous mappings to a larger class of mappings having weakly compatible maps, without appeal to continuity in probabilistic metric space, which generalizes the result of Mishra [11] and Xieping [ 18]. At the end, we provide an example in support of our theorem.

Keywords


Probabilistic Metric Spaces, Weakly Compatible.