Abstract
First, based on η-maximal accretiveness, a generalization to Rockafellar’s theorem (1976) in the context of approximating a solution to a general inclusion problem involving a multivalued η-maximal accretive mapping using the proximal point algorithm in a q-uniformly smooth Banach space setting is considered. Then an application to a minimization problem of a functional is examined. The general framework for η-maximal accretiveness generalizes the general theory of multivalued maximal monotone mappings.
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Verma, R.U. General proximal point algorithm involving η-maximal accretiveness framework in Banach spaces. Positivity 13, 771–782 (2009). https://doi.org/10.1007/s11117-008-2268-x
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DOI: https://doi.org/10.1007/s11117-008-2268-x