Some New Results for Jaggi- W -Contraction-Type Mappings on b-Metric-like Spaces

Slobodanka Mitrović, Vahid Parvaneh, Manuel De La Sen, Jelena Vujaković and Stojan Radenović
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Slobodanka Mitrović: Faculty of Forestry, University of Belgrade, Kneza Višeslava 1, 11000 Beograd, Serbia
Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Manuel De La Sen: Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain
Jelena Vujaković: Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Mathematics, 2021, vol. 9, issue 16, 1-11

Abstract: In this article, we generalize, improve, unify and enrich some results for Jaggi- W -contraction-type mappings in the framework of b-metric-like spaces. Our results supplement numerous methods in the existing literature, and we created new approach to prove that a Picard sequence is Cauchy in a b-metric-like space. Among other things, we prove Wardowski’s theorem, but now by using only the property ( W 1). Our proofs in this article are much shorter than ones in recently published papers.

Keywords: Banach principle; Jaggi- W -contractive mapping; Jaggi- W -Suzuki-contractive mapping; fixed point; b-metric-like space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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