Multivalued generalizations of the Kannan fixed point theorem

Abstract

In this paper we obtain multi-valed mapping generalizations of two recent theorems of Kikkawa and Suzuki [M. Kikkawa and T. Suzuki, Some similarity between contractions and Kannan mappings, Fixed Point Theory Appl., (2008), Article ID 649749, 1-8] and the main theorem of Enjouji et all. [Y. Enjouji, M. Nakanishi and T. Suzuki, A Generalization of Kannan?s Fixed Point Theorem, Fixed Point Theory and Applications, Volume 2009, Article ID 192872, 10 pages].