Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces

Hasanen A. Hammad and Manuel De la Sen
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Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Manuel De la Sen: Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain

Mathematics, 2021, vol. 9, issue 18, 1-23

Abstract: The objective of this paper is to present a new notion of a tripled fixed point (TFP) findings by virtue of a control function in the framework of fuzzy cone metric spaces (FCM-spaces). This function is a continuous one-to-one self-map that is subsequentially convergent (SC) in FCM-spaces. Moreover, by using the triangular property of a FCM, some unique TFP results are shown under modified contractive-type conditions. Additionally, two examples are discussed to uplift our work. Ultimately, to examine and support the theoretical results, the existence and uniqueness solution to a system of Volterra integral equations (VIEs) are obtained.

Keywords: FCM-space; control function; tripled fixed point; Volterra integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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