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Some applications of Caristi's fixed point theorem in metric space

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1506.05062
Source
arXiv
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Abstract

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

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