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

Olga Hadži, E. Pap

Research output: Contribution to journalArticle

33 Citations (Scopus)

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 languageEnglish
Pages (from-to)333-344
Number of pages12
JournalFuzzy Sets and Systems
Volume127
Issue number3
DOIs
Publication statusPublished - May 1 2002

Fingerprint

Probabilistic Metric Space
Fuzzy Metric Space
Multivalued Mapping
T-norm
Fixed point theorem
Menger Space
Corollary
Fixed point
Generalise
Family

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.

In: Fuzzy Sets and Systems, Vol. 127, No. 3, 01.05.2002, p. 333-344.

Research output: Contribution to journalArticle

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