Some fixed point results via γ-contraction in non-Archimedean fuzzy metric spaces

Abstract

As other authors have been very interested in the topic of fixed points, we have obtained some results in this study that emphasize the importance of the fixed point theory. Kannan described a more general contraction than the Banach contraction that took its name and later Reich generalized this contraction further in metric spaces. In this paper, we have introduced some new contractions called Reich type γ-contraction and Kannan type γ-contraction which are generalization of γ-contraction and we have obtained some fixed point results for Reich type γ-contraction in non-Archimedean fuzzy metric spaces. We have presented a result about Kannan type-contraction. Furtermore, we have established an example about our main result.

Keywords

• Reich type γ-contraction
• Kannan type γ-contraction
• Fuzzy metric

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