### Abstract

The notion of a (ψ, C)-contraction type multivalued mapping is introduced. This notion is a generalization of the notion of C-contraction introduced by T. L. Hicks (Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 13, 1983, 63-72). A fixed point theorem for (ψ, C)-contraction is proved. An application on the existence of a random fixed point for random operator f : M × Ω → M, where (M, d) is a separable metric space and (Ω, script A sign, ℳ) a measure space with a decomposable measure of (NSA)-type, is given.

Original language | English |
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Pages (from-to) | 433-449 |

Number of pages | 17 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 202 |

Issue number | 2 |

DOIs | |

Publication status | Published - Sep 1 1996 |

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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## Cite this

Pap, E., Hadžić, O., & Mesiar, R. (1996). A fixed point theorem in probabilistic metric spaces and an application.

*Journal of Mathematical Analysis and Applications*,*202*(2), 433-449. https://doi.org/10.1006/jmaa.1996.0325