Some Simultaneous Generalizations of Well-Known Fixed Point Theorems and Their Applications to Fixed Point Theory

Some Simultaneous Generalizations of Well-Known Fixed Point Theorems and Their Applications to Fixed Point Theory

In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du-Rassias fixed point theorem and many others. The...

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Bibliographic Details
Main Authors: Wei-Shih Du, Erdal Karapınar, Zhenhua He
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Mathematics
Subjects:
Banach contraction principle
Kannan’s fixed point theorem
Chatterjea’s fixed point theorem
Du–Rassias’s fixed point theorem
simultaneous generalization
ℳ?(λ)-function
Online Access:http://www.mdpi.com/2227-7390/6/7/117

Internet

http://www.mdpi.com/2227-7390/6/7/117

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