New fixed point theorems for orthogonal $F_m$-contractions in incomplete $m$-metric spaces

Autor: M. Mehmood, H. Isik, F. Uddin, A. Shoaib
Jazyk: English<br />Ukrainian
Rok vydání: 2021
Předmět:
Zdroj: Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 2, Pp 405-412 (2021)
Druh dokumentu: article
ISSN: 2075-9827
2313-0210
DOI: 10.15330/cmp.13.2.405-412
Popis: In this paper, we introduce the concept of orthogonal $m$-metric spaces and by using $F_m$-contraction in orthogonal $m$-metric spaces, we give the concept of orthogonal $F_m$-contraction (briefly, $\bot_{F_m}$-contraction) and investigate fixed point results for such mappings. Many existing results in the literature appear to be special case of results proved in this paper. An example to support our main results is also mentioned.
Databáze: Directory of Open Access Journals