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Displaying similar documents to “On uniformly generalized Lipschitzian mappings.”

Fixed point theorems for n -periodic mappings in Banach spaces

Jarosław Górnicki, Krzysztof Pupka (2005)

Commentationes Mathematicae Universitatis Carolinae

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Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. (1971), 294) and others, which have recently been presented in Chapter 11 of (2001).

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...