Strong convergence of a modified Halpern-type iteration for asymptotically quasi-∅-nonexpansive mappings
نویسندگان
چکیده
منابع مشابه
Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...
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A mapping T : C → C is said to be nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖, for all x, y ∈ C. We denote by Fix T {x ∈ C : Tx x} the set of fixed points of T . In the last ten years, many papers have been written on the approximation of fixed point for nonlinear mappings by using some iterative processes see, e.g., 1–18 . An explicit iterative process was initially introduced, in 1967, by Halpern 3 i...
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2013
ISSN: 1844-0835
DOI: 10.2478/auom-2013-0017