### 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 |

### Fingerprint

### Keywords

- C -algebra-valued M-metric space
- C -class function -class function
- Fixed point

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

^{∗}-algebra-valued M-metric spaces and some related fixed point results

*Italian Journal of Pure and Applied Mathematics*, (41), 708-723.

**
C
^{∗}
-algebra-valued M-metric spaces and some related fixed point results
.** / Moeini, Bahman; Asadi, Mehdi; Aydi, Hassen; Alsamir, Habes; Md. Noorani, Mohd. Salmi.

Research output: Contribution to journal › Article

^{∗}-algebra-valued M-metric spaces and some related fixed point results ',

*Italian Journal of Pure and Applied Mathematics*, no. 41, pp. 708-723.

^{∗}-algebra-valued M-metric spaces and some related fixed point results Italian Journal of Pure and Applied Mathematics. 2019 Jan 1;(41):708-723.

}

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

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 -