### 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 |

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### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Journal of Mathematical Analysis and Applications*,

*202*(2), 433-449. https://doi.org/10.1006/jmaa.1996.0325

**A fixed point theorem in probabilistic metric spaces and an application.** / Pap, E.; Hadžić, O.; Mesiar, R.

Research output: Contribution to journal › Article

*Journal of Mathematical Analysis and Applications*, vol. 202, no. 2, pp. 433-449. https://doi.org/10.1006/jmaa.1996.0325

}

TY - JOUR

T1 - A fixed point theorem in probabilistic metric spaces and an application

AU - Pap, E.

AU - Hadžić, O.

AU - Mesiar, R.

PY - 1996/9/1

Y1 - 1996/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030240874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030240874&partnerID=8YFLogxK

U2 - 10.1006/jmaa.1996.0325

DO - 10.1006/jmaa.1996.0325

M3 - Article

VL - 202

SP - 433

EP - 449

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -