Displaying similar documents to “On Diviccaro, Fisher and Sessa open questions”

Remarks on fixed points of rotative Lipschitzian mappings

Jarosław Górnicki (1999)

Commentationes Mathematicae Universitatis Carolinae

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Let C be a nonempty closed convex subset of a Banach space E and T : C → C a k -Lipschitzian rotative mapping, i.eṡuch that ∥ T x - T y ∥ ≤ k · ∥ x - y ∥ and ∥ T n x - x ∥ ≤ a · ∥ x - T x ∥ for some real k , a and an integer n > a . The paper concerns the existence of a fixed point of T in p -uniformly convex Banach spaces, depending on k , a and n = 2 , 3 .

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.