New Versions of Some Results on Fixed Points in b -Metric Spaces

Zoran D. Mitrović, Abasalt Bodaghi, Ahmad Aloqaily, Nabil Mlaiki and Reny George ()
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Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Abasalt Bodaghi: Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
Ahmad Aloqaily: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Reny George: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2023, vol. 11, issue 5, 1-9

Abstract: The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b -metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

Keywords: iterative methods; fixed point; b-metric; Caristi theorem; orbitally continuous; k-continuous (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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