Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions

Alireza Pourmoslemi, Shayesteh Rezaei, Tahereh Nazari and Mehdi Salimi
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Alireza Pourmoslemi: Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, Iran
Shayesteh Rezaei: Departement of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz 6861885914, Iran
Tahereh Nazari: Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, Iran
Mehdi Salimi: Center for Dynamics and Institute for Analysis, Department of Mathematics, Technische Universität Dresden, 01069 Dresden, Germany

Mathematics, 2020, vol. 8, issue 9, 1-11

Abstract: In this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixed point theorems which are generalizations of Kannan and Reich fixed points.

Keywords: generalized contractions; complete metric space; fixed points; sequentially convergent mappings; subadditive altering distance functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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