General New Results on (ϕ,F)−Contractions in b−Metric-like-Spaces

Autor: Kastriot Zoto, Milanka Gardašević-Filipović, Ilir Vardhami, Zoran Mitrović, Stojan Radenović
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Axioms, Vol 12, Iss 7, p 672 (2023)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms12070672
Popis: Thispaper recognizes a general approach related to recent fixed point results about the classes of interpolative and hybrid contractions in metric space and general metric spaces. Considering auxiliary functions, so called Wardowski functions, and a rich set of implicit relations, we introduce types of (αvq,ϕ,F)−contractions and r−order hybrid (αvq,ϕ,F)−contractions in the setting of b−metric-like spaces. They generate and simplify many forms of contractions widely used in the literature. The resulting theorems significantly extend, generalize, and unify an excellent work on fixed point theory.
Databáze: Directory of Open Access Journals
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