Geodesic
Existence Theorems for Generalized Asymptotically Nonexpansive Mappings in Uniformly Convex Metric Spaces
Journal of convex analysis, Tome 20 (2013) no. 3, pp. 753-761

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(0) spaces.
Classification : 47H09, 47H10
Mots-clés : Generalized asymptotically nonexpansive mappings, uniformly convex metric spaces, uniformly convex hyperbolic spaces, CAT(0) 
@article{JCA_2013_20_3_JCA_2013_20_3_a7,
     author = {W. Phuengrattana and S. Suantai},
     title = {Existence {Theorems} for {Generalized} {Asymptotically} {Nonexpansive} {Mappings} in {Uniformly} {Convex} {Metric} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {753--761},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a7/}
}
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W. Phuengrattana; S. Suantai. Existence Theorems for Generalized Asymptotically Nonexpansive Mappings in Uniformly Convex Metric Spaces. Journal of convex analysis, Tome 20 (2013) no. 3, pp. 753-761. http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a7/