Geodesic
Dual convergences of iteration processes for nonexpansive mappings in Banach spaces
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 397-404

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In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.
Classification : 47H09, 47H10, 47J25
Keywords: Banach limit; dual convergence theorem; duality mapping; Ishikawa iteration process; nonexpansive mapping 
@article{CMJ_2003__53_2_a13,
     author = {Jung, Jong Soo and Sahu, Daya Ram},
     title = {Dual convergences of iteration processes for nonexpansive mappings in {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {397--404},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2003},
     mrnumber = {1983460},
     zbl = {1030.47037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_2_a13/}
}
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Jung, Jong Soo; Sahu, Daya Ram. Dual convergences of iteration processes for nonexpansive mappings in Banach spaces. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 397-404. http://geodesic.mathdoc.fr/item/CMJ_2003__53_2_a13/