### Abstract

Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

Original language | English |
---|---|

Pages (from-to) | 5497-5509 |

Number of pages | 13 |

Journal | Filomat |

Volume | 31 |

Issue number | 17 |

DOIs | |

Publication status | Published - 1 Jan 2017 |

### Fingerprint

### Keywords

- Common fixed point
- Fixed point
- Metric like spaces
- Metric spaces

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Filomat*,

*31*(17), 5497-5509. https://doi.org/10.2298/FIL1717497A

**Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application.** / Alsamir, Habes; Md. Noorani, Mohd. Salmi; Shatanawi, Wasfi; Abodyah, Kamal.

Research output: Contribution to journal › Article

*Filomat*, vol. 31, no. 17, pp. 5497-5509. https://doi.org/10.2298/FIL1717497A

}

TY - JOUR

T1 - Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application

AU - Alsamir, Habes

AU - Md. Noorani, Mohd. Salmi

AU - Shatanawi, Wasfi

AU - Abodyah, Kamal

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

AB - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

KW - Common fixed point

KW - Fixed point

KW - Metric like spaces

KW - Metric spaces

UR - http://www.scopus.com/inward/record.url?scp=85038379682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85038379682&partnerID=8YFLogxK

U2 - 10.2298/FIL1717497A

DO - 10.2298/FIL1717497A

M3 - Article

VL - 31

SP - 5497

EP - 5509

JO - Filomat

JF - Filomat

SN - 0354-5180

IS - 17

ER -