Displaying similar documents to “On some discontinuous fixed point mappings in convex metric spaces”

On a generalization of a Greguš fixed point theorem

Ljubomir B. Ćirić (2000)

Czechoslovak Mathematical Journal

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Let C be a closed convex subset of a complete convex metric space X . In this paper a class of selfmappings on C , which satisfy the nonexpansive type condition ( 2 ) below, is introduced and investigated. The main result is that such mappings have a unique fixed point.

An observation on Kannan mappings

Masato Nakanishi, Tomonari Suzuki (2010)

Open Mathematics

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In order to observe the condition of Kannan mappings more deeply, we prove a generalization of Kannan’s fixed point theorem.