### Abstract

The existence and uniqueness of the coupled fixed points in cone metric spaces have been studied. Fixed point of N-order for the mapping F: X ^{N} → X has been introduced recently in 2010. In this paper, we establish a fixed point theorem of N-order for the mapping F in such spaces. The presented theorem extends and generalizes several well-known comparable results in literature, in particular, the results from Sabetghadam et al. [18].

Original language | English |
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Pages (from-to) | 49-76 |

Number of pages | 28 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 79 |

Issue number | 1 |

Publication status | Published - 2013 |

### Fingerprint

### Keywords

- Cone metric spaces
- Fixed point of N-order

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Far East Journal of Mathematical Sciences*,

*79*(1), 49-76.

**Fixed point theorem of N-order in cone metric spaces.** / Fadail, Zaid Mohammed; Ahmad, Abd. Ghafur.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 79, no. 1, pp. 49-76.

}

TY - JOUR

T1 - Fixed point theorem of N-order in cone metric spaces

AU - Fadail, Zaid Mohammed

AU - Ahmad, Abd. Ghafur

PY - 2013

Y1 - 2013

N2 - The existence and uniqueness of the coupled fixed points in cone metric spaces have been studied. Fixed point of N-order for the mapping F: X N → X has been introduced recently in 2010. In this paper, we establish a fixed point theorem of N-order for the mapping F in such spaces. The presented theorem extends and generalizes several well-known comparable results in literature, in particular, the results from Sabetghadam et al. [18].

AB - The existence and uniqueness of the coupled fixed points in cone metric spaces have been studied. Fixed point of N-order for the mapping F: X N → X has been introduced recently in 2010. In this paper, we establish a fixed point theorem of N-order for the mapping F in such spaces. The presented theorem extends and generalizes several well-known comparable results in literature, in particular, the results from Sabetghadam et al. [18].

KW - Cone metric spaces

KW - Fixed point of N-order

UR - http://www.scopus.com/inward/record.url?scp=84883621631&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883621631&partnerID=8YFLogxK

M3 - Article

VL - 79

SP - 49

EP - 76

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 1

ER -