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Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

DOI: 10.1155/2010/512751

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Abstract:

The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of resolvents of maximal monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert spaces.

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