Fixed Point Theory and Applications (Jan 2010)

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

  • Kohsaka Fumiaki,
  • Aoyama Koji

Journal volume & issue
Vol. 2010, no. 1
p. 512751

Abstract

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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.