Common fixed point theorem for subcompatible maps of type (\(\alpha\) ) in weak non-Archimedean intuitionistic fuzzy metric space

Volume 9, Issue 5, pp 2740--2752 http://dx.doi.org/10.22436/jnsa.009.05.70

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Authors

Ferhan Sola Erduran - Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey. Cemil Yildiz - Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey.

Abstract

In this paper, we introduce the definition of subcompatible maps and subcompatible maps of types (\(\alpha\)) and (\(\beta\)); which are respectively weaker than compatible maps and compatible maps of types (\(\alpha\)) and (\(\beta\)); in weak non-Archimedean intuitionistic fuzzy metric spaces and give some examples and relationship between these definitions. Thereafter, we prove common fixed point theorem for four subcompatible maps of type (\(\alpha\)) in weak non-Archimedean intuitionistic fuzzy metric spaces.

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Keywords

• Weak non-Archimedean intuitionistic fuzzy metric
• subcompatible maps of types (\(\alpha\)) and (\(\beta\))
• common fixed point.

MSC

•  47H10
•  54H25

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