Integrable functions of fuzzy cone and ξ - fuzzy cone and their application in the fixed point theorem. Issue 2 (17th February 2022)

• Record Type: Journal Article
• Authors: Hadi, Sarim H.; Ali, Ali Hasan
• Is Part Of: Journal of interdisciplinary mathematics. Volume 25:Issue 2(2022)
• Page Start: 247
• Page End: 258
• Publication Date: 2022-02-17
• Subjects: 54A40 -- 54E35 -- 54E15; Fuzzy cone metric space -- f-partition for [u, υ] -- Fuzzy cone Integrable function -- ξ - function -- ξ -h function -- ξ -f cone integrable and fixed point theorems; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2021.1881220
• Languages: English
• ISSNs: 0972-0502

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.