شماره ركورد كنفرانس :
4057
عنوان مقاله :
Two generalizations of Banach’s contraction principle in the cyclical form
عنوان به زبان ديگر :
Two generalizations of Banach’s contraction principle in the cyclical form
پديدآورندگان :
Amini-Harandi Alireza a.amini@sci.ui.ac.ir Department of Mathematics, University of Isfahan, Isfahan, 81745-163 , Fakhar Majid fakhar@sci.ui.ac.ir Department of Mathematics, University of Isfahan, Isfahan, 81745-163 , Safari-Hafshejani Akram asafari@pnu.ac.ir Department of Pure Mathematics, Payame Noor University (PNU), P. O. Box: 19395-3697, Tehran
كليدواژه :
Banach’s contraction principle , Zamfirescu’s fixed point theorem , Cyclic maps.
عنوان كنفرانس :
چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي
چكيده فارسي :
One of interesting extensions of Banach’s contraction principle to mappings that don’t to be continuous, is Zamfirescu’s
fixed point theorem that is a generalization of Kannan’s and Chaterjea’s theorems, too. The main aim of this paper is to obtain
extensions of this theorem in the cyclical form, in complete metric and Banach spaces. Presented results extend and improve some
recent results in the literature.
چكيده لاتين :
One of interesting extensions of Banach’s contraction principle to mappings that don’t to be continuous, is Zamfirescu’s
fixed point theorem that is a generalization of Kannan’s and Chaterjea’s theorems, too. The main aim of this paper is to obtain
extensions of this theorem in the cyclical form, in complete metric and Banach spaces. Presented results extend and improve some
recent results in the literature.
