Displaying similar documents to “Some characterizations for a family of nonexpansive mappings and convergence of a generated sequence to their common fixed point.”

Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces

Daya Ram Sahu (2005)

Commentationes Mathematicae Universitatis Carolinae

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We introduce the classes of nearly contraction mappings and nearly asymptotically nonexpansive mappings. The class of nearly contraction mappings includes the class of contraction mappings, but the class of nearly asymptotically nonexpansive mappings contains the class of asymptotically nonexpansive mappings and is contained in the class of mappings of asymptotically nonexpansive type. We study the existence of fixed points and the structure of fixed point sets of mappings of these classes...