Geodesic
A new class of nonexpansive type mappings and fixed points
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 891-899

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 47H09, 47H10, 54H25
Keywords: nonexpansive type mapping; asymptotically regular mapping; fixed point. 
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     author = {\'Ciri\'c, Ljubomir B.},
     title = {A new class of nonexpansive type mappings and fixed points},
     journal = {Czechoslovak Mathematical Journal},
     pages = {891--899},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {1999},
     mrnumber = {1746714},
     zbl = {1003.54024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_4_a19/}
}
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Ćirić, Ljubomir B. A new class of nonexpansive type mappings and fixed points. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 891-899. http://geodesic.mathdoc.fr/item/CMJ_1999__49_4_a19/