Convergence theorems for generalized projections and maximal monotone operators in Banach spaces

Takanori Ibaraki, Yasunori Kimura and Wataru Takahashi

Abstract and Applied Analysis, 2003, vol. 2003, issue 10, 621-629

Abstract: 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.

Date: 2003
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https://doi.org/10.1155/S1085337503207065

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:10:p:621-629

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