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Convergence analysis of a Halpern type algorithm for accretive operators

✍ Scribed by Youli Yu

Book ID
116761185
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
197 KB
Volume
75
Category
Article
ISSN
0362-546X

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Let E be a real reflexive Banach space with uniformly GΓ’teaux differentiable norm. Let K be a nonempty bounded closed and convex subset of E. Let T : K β†’ K be a strictly pseudo-contractive map and let L > 0 denote its Lipschitz constant. Assume F(T ) := {x ∈ K : T x = x} = βˆ… and let z ∈ F(T ). Fix Ξ΄