3 papers
math.FA2022
On the -contractive multi-valued operator and affirmative answer to an open question
Farshid Khojasteh
The current research is devoted to find an affirmative answer to an open question related to contractive operators which have been introduced by Ovidiu Popescu.
math.FA2021
A new method for estimating the real roots of real differentiable functions
Hassan Khandani, Farshid Khojasteh
We introduce a new type of Krasnoselskii's result. Using a simple differentiability condition, we relax the nonexpansive condition in Krasnoselskii's theorem. More clearly, we anal…
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…