The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
✍ Scribed by Paul-Emile Maingé
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 437 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, we discuss the strong convergence of the viscosity approximation method, in Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of quasi-nonexpansive mappings. Our convergence results improve previously known ones obtained for the class of nonexpansive mappings.
📜 SIMILAR VOLUMES
Let H be a real Hilbert space. Suppose that T is a nonexpansive mapping on H with a fixed point, f is a contraction on H with coefficient 0 < α < 1, and 2 )/α = τ /α. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x ∈ F ix (T ), which
Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially