Fixed point results of fuzzy $(\theta, \mathcal {L})-$ weak contraction in $\mathbb{G}$-metric space

Abstract

In this paper, the notion of fuzzy $(\theta, \mathcal {L})$-weak contraction in $\mathbb{G}-$metric space is introduced, and sufficient conditions for the existence of fuzzy fixed points for such mappings are investigated. Relevant illustrative examples are constructed to support the assumptions of our established theorems. It is observed that the principal ideas obtained herein extend and subsume some well-known results in the corresponding literature. A few of these special cases of our results are noted and discussed as corollaries

Keywords

• fixed point
• fuzzy set
• fuzzy mapping
• contractive type mapping