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

Farshid Khojasteh; Erdal Karapinar; Hasan Khandani

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arXiv · 1506.05062

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

Farshid Khojasteh·Erdal Karapinar·Hasan Khandani

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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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Farshid Khojasteh, Erdal Karapinar, Hasan Khandani. 2015-06-16. Some applications of Caristi's fixed point theorem in metric space. https://arxiv.org/abs/1506.05062

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