A new class of nonexpansive type mappings and fixed points

Ćirić, Ljubomir B.

Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 891-899

Abstract (VO)

In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.

Détail

Classification : 47H09, 47H10, 54H25
Keywords: nonexpansive type mapping; asymptotically regular mapping; fixed point.

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