Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

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Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

where E∗ denotes the dual space of E and 〈·, ·〉 denotes the generalized duality pairing. If E∗ is strictly convex, then J is single valued. In the sequel, we will denote the single-value duality mapping by j. Let C be a nonempty closed convex subset of E. Recall that a self-mapping f : C → C is said to be a contraction if there exists a constant δ ∈ 0, 1 such that ∥f x − f y ∥∥ ≤ δ‖x − y‖, ∀x, ...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2008

ISSN: 1025-5834,1029-242X

DOI: 10.1155/2008/280908