### Abstract

In this paper we shall generalize a fixed point theorem for multivalued mappings in probabilistic metric spaces proved in (J. Math. Anal. Appl. 202 (1996) 433-449). As a corollary a fixed point result in Menger spaces (S,F,T), where T is a strict t-norm, is obtained. Some special cases , where T is a member of Dombi, Schweizer-Sklar and Aczél-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented.

Original language | English |
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Pages (from-to) | 333-344 |

Number of pages | 12 |

Journal | Fuzzy Sets and Systems |

Volume | 127 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 1 2002 |

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### Keywords

- Fixed point theorem
- Fuzzy metric space
- Menger space
- Multivalued mapping
- Probabilistic metric space
- Triangular norm

### ASJC Scopus subject areas

- Statistics and Probability
- Electrical and Electronic Engineering
- Statistics, Probability and Uncertainty
- Information Systems and Management
- Computer Vision and Pattern Recognition
- Computer Science Applications
- Artificial Intelligence

### Cite this

**A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces.** / Hadži, Olga; Pap, E.

Research output: Contribution to journal › Article

*Fuzzy Sets and Systems*, vol. 127, no. 3, pp. 333-344. https://doi.org/10.1016/S0165-0114(01)00144-0

}

TY - JOUR

T1 - A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces

AU - Hadži, Olga

AU - Pap, E.

PY - 2002/5/1

Y1 - 2002/5/1

N2 - In this paper we shall generalize a fixed point theorem for multivalued mappings in probabilistic metric spaces proved in (J. Math. Anal. Appl. 202 (1996) 433-449). As a corollary a fixed point result in Menger spaces (S,F,T), where T is a strict t-norm, is obtained. Some special cases , where T is a member of Dombi, Schweizer-Sklar and Aczél-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented.

AB - In this paper we shall generalize a fixed point theorem for multivalued mappings in probabilistic metric spaces proved in (J. Math. Anal. Appl. 202 (1996) 433-449). As a corollary a fixed point result in Menger spaces (S,F,T), where T is a strict t-norm, is obtained. Some special cases , where T is a member of Dombi, Schweizer-Sklar and Aczél-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented.

KW - Fixed point theorem

KW - Fuzzy metric space

KW - Menger space

KW - Multivalued mapping

KW - Probabilistic metric space

KW - Triangular norm

UR - http://www.scopus.com/inward/record.url?scp=0036568449&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036568449&partnerID=8YFLogxK

U2 - 10.1016/S0165-0114(01)00144-0

DO - 10.1016/S0165-0114(01)00144-0

M3 - Article

AN - SCOPUS:0036568449

VL - 127

SP - 333

EP - 344

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

IS - 3

ER -