Geodesic
Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 465-487

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

Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. Rates of asymptotic regularity for such iterations are given using proof-theoretic techniques. Some applications of the convergence results are presented.
Classification : 47H06, 47H09, 47H10, 47J20, 03F60
Mots-clés : Nonexpansive mapping, iterative algorithm, fixed point, viscosity approximation, uniformly smooth Banach space, rates of asymptotic regularity, proof mining, variational inequality, accretive operator 
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     author = {V. Colao and L. Leustean and G. L\'opez and V. Mart{\'\i}n-M\'arquez},
     title = {Alternative {Iterative} {Methods} for {Nonexpansive} {Mappings,} {Rates} of {Convergence} and {Applications}},
     journal = {Journal of convex analysis},
     pages = {465--487},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a13/}
}
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V. Colao; L. Leustean; G. López; V. Martín-Márquez. Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 465-487. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a13/