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Multivalued generalizations of the Kannan fixed point theorem

Damjanović Boško (Department of Mathematics, Faculty of Agriculture, Beograd)
Đorić Dragan (Department of Mathematics, Faculty of Organizational Sciences, Belgrade)

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].

Keywords: Complete metric space, Kannan fixed point, multivalued mapping