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

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. Using this result, we …