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Some Caristi type fixed point theorems
(Springernature, 2021)
In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was shown that this result is equivalent to Ekeland variational principle which has a great number of applications in many branches ...
A new approach to fractals via best proximity point
(Pergamon-Elsevier Science Ltd, 2021)
In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory. In this way, we introduce the concept of proximal ...