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Some Fixed Point Theorems in Generalized M-Fuzzy Metric Space


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1 Department of Mathematics, Dhemaji College, Dhemaji-787057, Assam, India
     

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In this paper, some fixed point theorems in Generalized (G) metric space have been converted using Generalized M (GM)-fuzzy metric space. In Paper [8], the expansive mapping has been defined using generalized metric space. Here, at first the expansive mapping has been defined using generalized M-fuzzy metric space and later generalized some lemma’s from generalized metric space to Generalized-M fuzzy metric space. Using these lemma’s and the new definition of expansive mapping the generalized fixed point theorems are proved under some contractive conditions.


Keywords

Fuzzy Metric Space, G-Metric Space, GM-Fuzzy Metric Space, Expansive Mapping.
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  • Some Fixed Point Theorems in Generalized M-Fuzzy Metric Space

Abstract Views: 300  |  PDF Views: 5

Authors

Sudipta Paul
Department of Mathematics, Dhemaji College, Dhemaji-787057, Assam, India

Abstract


In this paper, some fixed point theorems in Generalized (G) metric space have been converted using Generalized M (GM)-fuzzy metric space. In Paper [8], the expansive mapping has been defined using generalized metric space. Here, at first the expansive mapping has been defined using generalized M-fuzzy metric space and later generalized some lemma’s from generalized metric space to Generalized-M fuzzy metric space. Using these lemma’s and the new definition of expansive mapping the generalized fixed point theorems are proved under some contractive conditions.


Keywords


Fuzzy Metric Space, G-Metric Space, GM-Fuzzy Metric Space, Expansive Mapping.

References