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Title: Fixed Point Theorems of Kannan Type for Cyclical Contractive Conditions
Authors: Petric, Mihaela
Zlatanov, Boyan
Keywords: Fixed Point
Cyclical Operator
Contractive Condition
Kannan Operators
Zamfirescu Operators
Error Estimates
Issue Date: 22-Nov-2010
Publisher: University Press "Paisii Hilendarski", Plovdiv
Abstract: The main aim of this paper is to obtain fixed point theorems for Kannan and Zamfirescu operators in the presence of cyclical contractive condition. A method for approximation of the fixed points is also provided, for which both a priori and a posteriori error estimates are given. Our results generalize, unify and extend several important fixed points theorems in literature. In order to illustrate the efficiency of our generalizations five significant examples are also given.
ISBN: 9789544236489
Appears in Collections:REMIA 2010

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