Open AccessNew fixed point theorems for orthogonal $F_m$-contractions in incomplete $m$-metric spaces
Author(s) -
Mazhar Mehmood,
Hüseyin Işık,
Fahim Uddin,
Abdullah Shoaib
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.2.405-412
Subject(s) - mathematics , metric space , contraction (grammar) , fixed point , fixed point theorem , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , medicine
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.