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Abstract
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Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 192872, 10 pages
doi:10.1155/2009/192872

A generalization of Kannan's fixed point theorem

Yusuke Enjouji , Masato Nakanishi and Tomonari Suzuki

Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan

Abstract

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.