Geodesic
Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 791-806.

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

We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces. 
@article{JCA_2009_16_3_JCA_2009_16_3_a13,
     author = {G. Inoue and W. Takahashi and K. Zembayashi},
     title = {Strong {Convergence} {Theorems} by {Hybrid} {Methods} for {Maximal} {Monotone} {Operators} and {Relatively} {Nonexpansive} {Mappings} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {791--806},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/}
}
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G. Inoue; W. Takahashi; K. Zembayashi. Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 791-806. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a13/