Two generalizations of Banach’s contraction principle in the cyclical form

عنوان به زبان ديگر

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

تعداد صفحه

4

كليدواژه

Banach’s contraction principle , Zamfirescu’s fixed point theorem , Cyclic maps.

سال انتشار

1397

عنوان كنفرانس

چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي

زبان مدرك

انگليسي

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.

كشور

ايران