Abstract
We prove common fixed point theorem for weakly compatible maps in Intuitionistic fuzzy metric space satisfying integral type inequality but without using the completeness of space or continuity of the mappings involved. We prove by using the concept of E.A property.
Highlights
In the study of common fixed points of compatible mappings we often require assumption on completeness of the space or continuity of mappings involved besides some contractive condition but the study of fixed points of non comapatible mappings can be extend to the class of non expansive or Lipschitz type mapping pairs even without assuming the continuity of the mappings involved or completeness of the space
We prove common fixed point theorem for weakly compatible maps in Intuitionistic fuzzy metric space satisfying integral type inequality but without using the completeness of space or continuity of the mappings involved
Aamri and El Moutawakil [6] generalized the concepts of non comapatibility by defining the notion of (E.A) property and proved common fixed point theorems under strict contractive condition
Summary
In the study of common fixed points of compatible mappings we often require assumption on completeness of the space or continuity of mappings involved besides some contractive condition but the study of fixed points of non comapatible mappings can be extend to the class of non expansive or Lipschitz type mapping pairs even without assuming the continuity of the mappings involved or completeness of the space. Abstract: We prove common fixed point theorem for weakly compatible maps in Intuitionistic fuzzy metric space satisfying integral type inequality but without using the completeness of space or continuity of the mappings involved.
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