Fixed Point Results in Controlled Fuzzy Metric Spaces with an Application to the Transformation of Solar Energy to Electric Power

Umar Ishtiaq (), Doha A. Kattan, Khaleel Ahmad, Salvatore Sessa () and Farhan Ali
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Umar Ishtiaq: Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan
Doha A. Kattan: Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21589, Saudi Arabia
Khaleel Ahmad: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Salvatore Sessa: Dipartimento di Architettura, Università di Napoli Federico II, Via Toledo 403, 80121 Napoli, Italy
Farhan Ali: Department of Mathematics, COMSATS University Islamabad-Sahiwal Campus, Sahiwal 57000, Pakistan

Mathematics, 2023, vol. 11, issue 15, 1-17

Abstract: In this manuscript, we give sufficient conditions for a sequence to be Cauchy in the context of controlled fuzzy metric space. Furthermore, we generalize the concept of Banach’s contraction principle by utilizing several new contraction conditions and prove several fixed point results. Furthermore, we provide a number of non-trivial examples to validate the superiority of main results in the existing literature. At the end, we discuss an important application to the transformation of solar energy to electric power by utilizing differential equations.

Keywords: fixed point theorems; fuzzy metric space (FMS); contraction principles; Green’s function; differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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