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

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. Usi...

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Bibliographic Details
Main Authors: Fumiaki Kohsaka, Wataru Takahashi
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504309036