### Abstract

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

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

Pages (from-to) | 961-971 |

Number of pages | 11 |

Journal | Computers and Mathematics with Applications |

Volume | 53 |

Issue number | 6 |

DOIs | |

Publication status | Published - Mar 2007 |

### Fingerprint

### Keywords

- Common fixed points
- Compatible mappings of type (I) and (II)
- Nonlinear integral equations
- Weak compatible mappings

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics
- Modelling and Simulation

### Cite this

*Computers and Mathematics with Applications*,

*53*(6), 961-971. https://doi.org/10.1016/j.camwa.2006.08.046

**A common fixed point theorem and its application to nonlinear integral equations.** / Pathak, H. K.; Khan, M. S.; Tiwari, Rakesh.

Research output: Contribution to journal › Article

*Computers and Mathematics with Applications*, vol. 53, no. 6, pp. 961-971. https://doi.org/10.1016/j.camwa.2006.08.046

}

TY - JOUR

T1 - A common fixed point theorem and its application to nonlinear integral equations

AU - Pathak, H. K.

AU - Khan, M. S.

AU - Tiwari, Rakesh

PY - 2007/3

Y1 - 2007/3

N2 - In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

AB - In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

KW - Common fixed points

KW - Compatible mappings of type (I) and (II)

KW - Nonlinear integral equations

KW - Weak compatible mappings

UR - http://www.scopus.com/inward/record.url?scp=34248396015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248396015&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2006.08.046

DO - 10.1016/j.camwa.2006.08.046

M3 - Article

VL - 53

SP - 961

EP - 971

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 6

ER -