Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces.
Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min (2009)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Approximating fixed points of nonexpansive mappings in hyperspaces.”
Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces.
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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).
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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...
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