A Generalization of Kannan's Fixed Point Theorem

In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.

Bibliographic Details
Main Authors: Yusuke Enjouji, Masato Nakanishi, Tomonari Suzuki
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/192872
Description
Summary:In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
ISSN:1687-1820
1687-1812