Abstract
In this paper, the concept of C ∗ -algebra-valued M-metric spaces is initiated, generalizing the M-metric spaces introduced by Asadi et al. [8]. Some fixed point theorems are also established via C ∗ -class functions in such spaces. Moreover, some illustrative examples are given. The obtained results generalize and improve some fixed point results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 708-723 |
| Number of pages | 16 |
| Journal | Italian Journal of Pure and Applied Mathematics |
| Issue number | 41 |
| Publication status | Published - 1 Jan 2019 |
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Keywords
- C -algebra-valued M-metric space
- C -class function -class function
- Fixed point
ASJC Scopus subject areas
- Mathematics(all)
Cite this
C ∗ -algebra-valued M-metric spaces and some related fixed point results . / Moeini, Bahman; Asadi, Mehdi; Aydi, Hassen; Alsamir, Habes; Md. Noorani, Mohd. Salmi.
In: Italian Journal of Pure and Applied Mathematics, No. 41, 01.01.2019, p. 708-723.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - C ∗ -algebra-valued M-metric spaces and some related fixed point results
AU - Moeini, Bahman
AU - Asadi, Mehdi
AU - Aydi, Hassen
AU - Alsamir, Habes
AU - Md. Noorani, Mohd. Salmi
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this paper, the concept of C ∗ -algebra-valued M-metric spaces is initiated, generalizing the M-metric spaces introduced by Asadi et al. [8]. Some fixed point theorems are also established via C ∗ -class functions in such spaces. Moreover, some illustrative examples are given. The obtained results generalize and improve some fixed point results in the literature.
AB - In this paper, the concept of C ∗ -algebra-valued M-metric spaces is initiated, generalizing the M-metric spaces introduced by Asadi et al. [8]. Some fixed point theorems are also established via C ∗ -class functions in such spaces. Moreover, some illustrative examples are given. The obtained results generalize and improve some fixed point results in the literature.
KW - C -algebra-valued M-metric space
KW - C -class function -class function
KW - Fixed point
UR - http://www.scopus.com/inward/record.url?scp=85063895969&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85063895969&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85063895969
SP - 708
EP - 723
JO - Italian Journal of Pure and Applied Mathematics
JF - Italian Journal of Pure and Applied Mathematics
SN - 1126-8042
IS - 41
ER -