Geodesic
On Presic Type Generalization of the Banach Contraction Mapping Principle
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2 
L. Ciric; S. Presic. On Presic Type Generalization of the Banach Contraction 
    Mapping Principle. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a1/
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     author = {L. Ciric and S. Presic},
     title = {On {Presic} {Type} {Generalization} of the {Banach} {Contraction} 
    {Mapping} {Principle}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a1/}
}
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    Mapping Principle
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Voir la notice de l'article provenant de la source Comenius University

Let ( X, d ) be a metric space, k a positive integer and T a mapping of X k into X . In this paper we proved that if T satisfies conditions (2.1) and (2.2) below, then there exists a unique x in X such that T ( x, x, 1⁄4 , x ) = x , This result generalizes the corresponding theorems of the second author [4], [5] and the theorem of Dhage [3].