Asymptotically pseudocontractions, Banach operator pairs and best simultaneous approximations.
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Fixed Point Theory and Applications [electronic only]
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Hussain, N. (2011)
Fixed Point Theory and Applications [electronic only]
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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...