Mathematics
(MDPI (Basel, Switzerland))
•12 Aug 2021
Some New Results for Jaggi-W-Contraction-Type Mappings on b-Metric-like Spaces
Mitrović, Slobodanka • Parvaneh, Vahid • De la Sen, Manuel • Vujaković, Jelena • Radenović, Stojan
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 (W1). Our proofs in this article are much shorter than ones in recently published papers.
Funding
Basque Government, Grant IT1207-19
Author: Mitrović, Slobodanka • Parvaneh, Vahid • De la Sen, Manuel • Vujaković, Jelena • Radenović, Stojan
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 (W1). Our proofs in this article are much shorter than ones in recently published papers.