Abstract
We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions. The results obtained in this paper extend and improve the recent results of Cai and Hu 2010, Dong et al. 2010, Katchang and Kumam 2011 and many others in the literature.
Highlights
Let E be a real Banach space with norm · and C a nonempty closed convex subset of E
We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces
Let E∗ be the dual space of E, and let ·, · denotes the generalized duality pairing between E and E∗
Summary
Let E be a real Banach space with norm · and C a nonempty closed convex subset of E.
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