On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings

DOI10.1155/2010/714860zbMath1206.47082OpenAlexW2115776239WikidataQ59255288 ScholiaQ59255288MaRDI QIDQ623534

Ravi P. Agarwal, Xiaolong Qin, Kang, Shin Min

Publication date: 8 February 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224063

zbMATH Keywords

strong convergencegeneralized asymptotically quasi-nonexpansive mappingsimplicit iterative processesreal Banach spacesexplicit iterative processes

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type ⋮ Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition ⋮ An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings ⋮ Common fixed points and best proximity points of two cyclic self-mappings ⋮ Iterative processes for common fixed points of two different families of mappings with applications ⋮ Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces ⋮ On a general contractive condition for cyclic self-mappings ⋮ On best proximity points for pseudocontractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces ⋮ On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense

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