Strong convergence of a CQ method for k-strictly asymptotically pseudocontractive mappings

Hossein Dehghan, Naseer Shahzad · Fixed Point Theory and Applications · 2012

Let E be a real q-uniformly smooth Banach space, which is also uniformly convex (for example, or spaces, ), and C be a nonempty bounded closed convex subset of E. Let be a k-strictly asymptotically pseudocontractive map with a nonempty fixed point set. A hybrid algorithm is constructed to approximate fixed points of such maps. Furthermore, strong convergence of the proposed algorithm is established.

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