Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces

Autor: Isa Yildirim
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Sahand Communications in Mathematical Analysis, Vol 19, Iss 2, Pp 15-32 (2022)
Druh dokumentu: article
ISSN: 2322-5807
2423-3900
DOI: 10.22130/scma.2022.528127.929
Popis: In this paper, we give a definition of the $F$-Hardy-Rogers contraction of Nadler type by eliminating the conditions $(F3)$ and $(F4)$. And, we obtain some fixed point theorems for such mappings using Mann's iteration process in complete convex $b$-metric spaces. We also give an example in order to support the main results, which generalize some results in [5,6].
Databáze: Directory of Open Access Journals