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

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  • Fumiaki Kohsaka
  • Wataru Takahashi

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.

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Handle: RePEc:wly:jnlaaa:v:2004:y:2004:i:3:p:239-249
DOI: 10.1155/S1085337504309036
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