Geodesic
Caristi's fixed point theorem in probabilistic metric spaces
Kybernetika, Tome 57 (2021) no. 1, pp. 46-59

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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.
DOI : 10.14736/kyb-2021-1-0046
Classification : 47H10, 58E30
Keywords: probabilistic metric space; Caristi's fixed point; Archimedean t-norm 
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     title = {Caristi's fixed point theorem in probabilistic metric spaces},
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Fathi Vajargah, Kianoush; Mottaghi Golshan, Hamid; Arjomand Far, Abbas. Caristi's fixed point theorem in probabilistic metric spaces. Kybernetika, Tome 57 (2021) no. 1, pp. 46-59. doi: 10.14736/kyb-2021-1-0046

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