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BETWEEN DEMICONTRACTIVE, a-DEMICONTRACTIVE MAPPINGS AND THE STRONG CONVERGENCE OF THE MANN ITERATIVE SEQUENCE IN HILBERT SPACES
Author(s) : B. G. Akuchu
Pages : [1] - [9]
Received : November 4, 2014; Revised November 14, 2014
Communicated by : Professor Metin Basarir
Pages : [1] - [9]
Received : November 4, 2014; Revised November 14, 2014
Communicated by : Professor Metin Basarir
Abstract
Let H be a real Hilbert space and C be a nonempty closed convex subset of H. Let 
be a demicontractive map satisfying 
for some 
then T is 
Furthermore, the Mann iterative sequence given by 
where 
converges strongly to an element of 
Keywords
Hilbert spaces, demicontractive maps, alpha-demicontractive maps, Mann iterative sequence, strong convergence.