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math.MG2015
Some consequences of Caristi's fixed point theorem, partial answers to some known open problems and its applications
Farshid Khojasteh, Erdal Karapinar, Hassan Khandani
In this paper, we show that several extension of Banach contraction principle, can be easily derived from the Caristi's theorem is one of the useful generalization of Banach contra…
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…