### Abstract

In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

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

Pages (from-to) | 89-96 |

Number of pages | 8 |

Journal | Azerbaijan Journal of Mathematics |

Volume | 5 |

Issue number | 1 |

Publication status | Published - 2015 |

### Fingerprint

### Keywords

- Fixed point
- Generalized contraction mappings
- Ordered metric spaces

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Azerbaijan Journal of Mathematics*,

*5*(1), 89-96.

**Fixed point theorem in partially ordered metric spaces for generalized contraction mappings.** / Chandok, Sumit; Khan, Mohammad Saeed; Narang, Tulsi Das.

Research output: Contribution to journal › Article

*Azerbaijan Journal of Mathematics*, vol. 5, no. 1, pp. 89-96.

}

TY - JOUR

T1 - Fixed point theorem in partially ordered metric spaces for generalized contraction mappings

AU - Chandok, Sumit

AU - Khan, Mohammad Saeed

AU - Narang, Tulsi Das

PY - 2015

Y1 - 2015

N2 - In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

AB - In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

KW - Fixed point

KW - Generalized contraction mappings

KW - Ordered metric spaces

UR - http://www.scopus.com/inward/record.url?scp=84929395660&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929395660&partnerID=8YFLogxK

M3 - Article

VL - 5

SP - 89

EP - 96

JO - Azerbaijan Journal of Mathematics

JF - Azerbaijan Journal of Mathematics

SN - 2218-6816

IS - 1

ER -