Caristi's coincidence and common-fixed point theorems in Hausdorff spaces
Keywords:
Caristi fixed point, b-metric, b-suprametricAbstract
In this paper, we present a Caristi-type coincidence and common-fixed point theorem and its dual in Hausdorff spaces. We also extend the Caristi-Jachymski and Caristi-Kirk-Saliga fixed point theorems. Moreover, we give a positive answer to a question of Kirk and Shahzad without assuming the standard distance axioms.
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