Geodesic
On a generalization of a Greguš fixed point theorem
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 449-458

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

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.
Classification : 47H10, 54H25
Keywords: convex metric space; nonexpansive type mapping; fixed point 
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     author = {\'Ciri\'c, Ljubomir},
     title = {On a generalization of a {Gregu\v{s}} fixed point theorem},
     journal = {Czechoslovak Mathematical Journal},
     pages = {449--458},
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     number = {3},
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     zbl = {1079.47509},
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}
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Ćirić, Ljubomir. On a generalization of a Greguš fixed point theorem. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 449-458. http://geodesic.mathdoc.fr/item/CMJ_2000__50_3_a0/