Some applications of Caristi’s fixed point theorem in metric spaces
نویسندگان
چکیده
*Correspondence: [email protected] 1Young Researcher and Elite Club, Arak-Branch, Islamic Azad University, Arak, Iran Full list of author information is available at the end of the article 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.
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