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math.OC2022
Some extensions of Krasnoselskii's fixed point result for real functions
Hassan Khandani
We extend Krasnoselskii's fixed point result to non-self-real functions. We find a new and simple proof for Hillam's result. In our approach, we don't assume the image of the relat…
math.OC2015
Some applications of Caristi's fixed point theorem in metric space
Farshid Khojasteh, Erdal Karapinar, Hasan Khandani
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 in…