Caristi's fixed point theorem in probabilistic metric spaces

Kianoush Fathi Vajargah; Hamid Mottaghi Golshan; Abbas Arjomand Far

Kybernetika (2021)

  • Issue: 1, page 46-59
  • ISSN: 0023-5954

Abstract

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In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.

How to cite

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Fathi Vajargah, Kianoush, Mottaghi Golshan, Hamid, and Arjomand Far, Abbas. "Caristi's fixed point theorem in probabilistic metric spaces." Kybernetika (2021): 46-59. <http://eudml.org/doc/297864>.

@article{FathiVajargah2021,
abstract = {In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.},
author = {Fathi Vajargah, Kianoush, Mottaghi Golshan, Hamid, Arjomand Far, Abbas},
journal = {Kybernetika},
keywords = {probabilistic metric space; Caristi's fixed point; Archimedean t-norm},
language = {eng},
number = {1},
pages = {46-59},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Caristi's fixed point theorem in probabilistic metric spaces},
url = {http://eudml.org/doc/297864},
year = {2021},
}

TY - JOUR
AU - Fathi Vajargah, Kianoush
AU - Mottaghi Golshan, Hamid
AU - Arjomand Far, Abbas
TI - Caristi's fixed point theorem in probabilistic metric spaces
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
IS - 1
SP - 46
EP - 59
AB - In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.
LA - eng
KW - probabilistic metric space; Caristi's fixed point; Archimedean t-norm
UR - http://eudml.org/doc/297864
ER -

References

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