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Construction of common fixed points of a countable family of k-demicontractive mappings in arbitrary Banach spaces

2012-09-12 1164

Construction of common fixed points of a countable family of k-demicontractive mappings in arbitrary Banach spaces

We propose iterative Mann-type schemes to approximate a common fixed point of a countable family of k-demicontractive and L-Lipschitzain mappings. This improves the recent result of Chidume et al. [C.E. Chidume, M. Abbas, Bashir Ali, Convergence of the Mann iteration algorithm for a class of pseudocontractive mappings. Appl. Math. Comput. 194(1) (2007) 1?6] from a single strictly pseudocontractive mapping to a family of more general mappings.

Authors : Daruni Boonchari,Satit Saejung
Book /Journal Title : Applied Mathematics and Computation ;2010 / 216 / 173-178

 

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