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

Authors
  • Khojasteh, Farshid
  • Karapinar, Erdal
  • Khandani, Hasan
Type
Preprint
Publication Date
Dec 12, 2015
Submission Date
Jun 16, 2015
Identifiers
arXiv ID: 1506.05062
Source
arXiv
License
Yellow
External links

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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