Kybernetika 57 no. 1, 46-59, 2021

Caristi's fixed point theorem in probabilistic metric spaces

Kianoush Fathi Vajargah, Hamid Mottaghi Golshan and Abbas Arjomand FarDOI: 10.14736/kyb-2021-1-0046

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.

Keywords:

probabilistic metric space, Caristi's fixed point, Archimedean t-norm

Classification:

47H10, 58E30

paper.pdf

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