Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
Ibaraki, Takanori ; Kimura, Yasunori ; Takahashi, Wataru
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 621-629 / Harvested from Project Euclid
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We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal monotone operators.
Publié le : 2003-05-29
Classification:  41A65,  47H05,  46B20 
@article{1054513100,
     author = {Ibaraki, Takanori and Kimura, Yasunori and Takahashi, Wataru},
     title = {Convergence theorems for generalized projections and maximal monotone operators in Banach spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 621-629},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1054513100}
}

Ibaraki, Takanori; Kimura, Yasunori; Takahashi, Wataru. Convergence theorems for generalized projections and maximal monotone operators in Banach spaces. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  621-629. http://gdmltest.u-ga.fr/item/1054513100/