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

Mathematics

Vahid Parvaneh¹  Slobodanka Mitrović²  Stojan Radenović³  Jelena Vujaković⁴  Manuel De La Sen⁵ 

[1] Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;Faculty of Forestry, University of Belgrade, Kneza Višeslava 1, 11000 Beograd, Serbia;Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia;Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia;Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain;

关键词: Banach principle;    Jaggi-$\mathcal{W}$-contractive mapping;    Jaggi-$\mathcal{W}$-Suzuki-contractive mapping;    fixed point;    b-metric-like space;   

DOI  :  10.3390/math9161921

来源: DOAJ

【 摘 要 】

In this article, we generalize, improve, unify and enrich some results for Jaggi-$\mathcal{W}$-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 ($\mathcal{W}$1). Our proofs in this article are much shorter than ones in recently published papers.

【 授权许可】

Unknown