### Abstract

The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α-admissibility with regard to η and θ-functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

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

Article number | 1082 |

Journal | Mathematics |

Volume | 7 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1 Nov 2019 |

### Fingerprint

### Keywords

- Admissibility
- Contraction
- Functional equation
- Graph

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Mathematics*,

*7*(11), [1082]. https://doi.org/10.3390/math7111082

**On common fixed point results for new contractions with applications to graph and integral equations.** / Qawaqneh, Haitham; Noorani, Mohd Salmi; Aydi, Hassen; Shatanawi, Wasfi.

Research output: Contribution to journal › Article

*Mathematics*, vol. 7, no. 11, 1082. https://doi.org/10.3390/math7111082

}

TY - JOUR

T1 - On common fixed point results for new contractions with applications to graph and integral equations

AU - Qawaqneh, Haitham

AU - Noorani, Mohd Salmi

AU - Aydi, Hassen

AU - Shatanawi, Wasfi

PY - 2019/11/1

Y1 - 2019/11/1

N2 - The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α-admissibility with regard to η and θ-functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

AB - The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α-admissibility with regard to η and θ-functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

KW - Admissibility

KW - Contraction

KW - Functional equation

KW - Graph

UR - http://www.scopus.com/inward/record.url?scp=85075335770&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075335770&partnerID=8YFLogxK

U2 - 10.3390/math7111082

DO - 10.3390/math7111082

M3 - Article

AN - SCOPUS:85075335770

VL - 7

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 11

M1 - 1082

ER -