Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

Fumiaki Kohsaka and Wataru Takahashi

Abstract and Applied Analysis, 2004, vol. 2004, 1-11

Abstract:

We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by Kamimura and Takahashi in a Hilbert space. Using this result, we deal with the convex minimization problem and the variational inequality problem in a Banach space.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:240462

DOI: 10.1155/S1085337504309036

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