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Integrable functions of fuzzy cone and ξ - fuzzy cone and their application in the fixed point theorem

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Abstract The purpose of this study is to present the idea of an f-partition for a closed interval. Additionally, we introduce a new notion for fuzzy cone metric spaces called… Click to show full abstract

Abstract The purpose of this study is to present the idea of an f-partition for a closed interval. Additionally, we introduce a new notion for fuzzy cone metric spaces called a fuzzy cone integrable function and prove fundamental fixed-point theorems. Moreover, we develop the concept of a ξ -fuzzy cone integrable function. Finally, we present new results of the fixed- point theorem for ξ -fuzzy cone integrable functions.

Keywords: point theorem; fixed point; fuzzy cone; cone; integrable functions

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2021

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