### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 469-479 |

Numero di pagine | 11 |

Rivista | Applied Mathematics and Computation |

Volume | 227 |

Stato di pubblicazione | Published - 2014 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics

### Cita questo

*Applied Mathematics and Computation*,

*227*, 469-479.

**Fixed point theorems for non-self mappings in symmetric spaces under phi-weak contractive conditions and an application to functional equations in dynamic programming.** / Vetro, Calogero; Imdad, Mohammad; Kadelburg, Zoran; Chauhan, Sunny.

Risultato della ricerca: Article

*Applied Mathematics and Computation*, vol. 227, pagg. 469-479.

}

TY - JOUR

T1 - Fixed point theorems for non-self mappings in symmetric spaces under phi-weak contractive conditions and an application to functional equations in dynamic programming

AU - Vetro, Calogero

AU - Imdad, Mohammad

AU - Kadelburg, Zoran

AU - Chauhan, Sunny

PY - 2014

Y1 - 2014

N2 - In this paper, we prove some common fixed point theorems for two pairs of non-self weakly compatible mappings enjoying common limit range property, besides satisfying a generalized phi-weak contractive condition in symmetric spaces. We furnish some illustrative examples to highlight the realized improvements in our results over the correspondingrelevant results of the existing literature. We extend our main result to four finite families of mappings in symmetric spaces using the notion of pairwise commuting mappings. Finally, we utilize our results to discuss the existence and uniqueness of solutions of certain system of functional equations arising in dynamic programming.

AB - In this paper, we prove some common fixed point theorems for two pairs of non-self weakly compatible mappings enjoying common limit range property, besides satisfying a generalized phi-weak contractive condition in symmetric spaces. We furnish some illustrative examples to highlight the realized improvements in our results over the correspondingrelevant results of the existing literature. We extend our main result to four finite families of mappings in symmetric spaces using the notion of pairwise commuting mappings. Finally, we utilize our results to discuss the existence and uniqueness of solutions of certain system of functional equations arising in dynamic programming.

UR - http://hdl.handle.net/10447/86124

UR - http://dx.doi.org/10.1016/j.amc.2013.11.014

M3 - Article

VL - 227

SP - 469

EP - 479

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -