Some applications of Caristi’s fixed point theorem in metric spaces

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2016

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Springer International Publishing

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Mathematics
(2000)
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Abstract

In this work, partial answers to Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s conjectures are presented via a light version of Caristi’s fixed point theorem. Moreover, we introduce the idea that many of known fixed point theorems can easily be derived from the Caristi theorem. Finally, the existence of bounded solutions of a functional equation is studied. © 2016 Khojasteh et al.

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Boyd and Wong’s contraction, Caristi’s fixed point theorem, Hausdorff metric, Mizoguchi-Takahashi, Reich’s problem

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12

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Fixed Point Theory and Applications

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2016

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1

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