### Abstract

The existence and uniqueness of the common coupled and common triple fixed points in cone metric spaces have been studied. The concepts of coincidence point, point of coincidence and commonfixed point of N-order for mappings F: X<sup>N</sup> → X and g:X →X have been introduced recently in 2012. In this paper, we establish coincidence point of N-order theorem and common fixed point of N-order theorem for W<inf>N</inf> -compatible mappings in such spaces.The presented theorems extend and generalize several well-known comparable results in literature, in particular, the results of Fadail and Ahmad [6], Abbas et al. [13] and Aydi et al. [19].

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

Pages (from-to) | 133-166 |

Number of pages | 34 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 96 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2015 |

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### Keywords

- Coincidence point of N-order
- Common fixed point of N-order
- Cone metric spaces
- W<inf>N</inf> -compatible mappings

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Common fixed point theorem of N-order for W<inf>N</inf> -compatible mappings in cone metric spaces.** / Fadail, Zaid Mohammed; Ahmad, Abd. Ghafur.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 96, no. 2, pp. 133-166. https://doi.org/10.17654/FJMSJan2015_133_166

}

TY - JOUR

T1 - Common fixed point theorem of N-order for WN -compatible mappings in cone metric spaces

AU - Fadail, Zaid Mohammed

AU - Ahmad, Abd. Ghafur

PY - 2015

Y1 - 2015

N2 - The existence and uniqueness of the common coupled and common triple fixed points in cone metric spaces have been studied. The concepts of coincidence point, point of coincidence and commonfixed point of N-order for mappings F: XN → X and g:X →X have been introduced recently in 2012. In this paper, we establish coincidence point of N-order theorem and common fixed point of N-order theorem for WN -compatible mappings in such spaces.The presented theorems extend and generalize several well-known comparable results in literature, in particular, the results of Fadail and Ahmad [6], Abbas et al. [13] and Aydi et al. [19].

AB - The existence and uniqueness of the common coupled and common triple fixed points in cone metric spaces have been studied. The concepts of coincidence point, point of coincidence and commonfixed point of N-order for mappings F: XN → X and g:X →X have been introduced recently in 2012. In this paper, we establish coincidence point of N-order theorem and common fixed point of N-order theorem for WN -compatible mappings in such spaces.The presented theorems extend and generalize several well-known comparable results in literature, in particular, the results of Fadail and Ahmad [6], Abbas et al. [13] and Aydi et al. [19].

KW - Coincidence point of N-order

KW - Common fixed point of N-order

KW - Cone metric spaces

KW - W<inf>N</inf> -compatible mappings

UR - http://www.scopus.com/inward/record.url?scp=84929159601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929159601&partnerID=8YFLogxK

U2 - 10.17654/FJMSJan2015_133_166

DO - 10.17654/FJMSJan2015_133_166

M3 - Article

VL - 96

SP - 133

EP - 166

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -