Nonlinear analysis, 2008-08, Vol.69 (4), p.1100-1111
2008
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Details
- Autor(en) / Beteiligte
- Titel
- Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
- Ist Teil von
- Nonlinear analysis, 2008-08, Vol.69 (4), p.1100-1111
- Ort / Verlag
- Amsterdam: Elsevier Ltd
- Erscheinungsjahr
- 2008
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- Let X be a reflexive and smooth real Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation scheme x n + 1 = λ n + 1 f ( x n ) + ( 1 − λ n + 1 ) T n + 1 x n (where f is a generalized contraction mapping) for infinitely many nonexpansive self-mappings T 1 , T 2 , T 3 , … in X . We establish a strong convergence result which generalizes some results in the literature.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0362-546XeISSN: 1873-5215DOI: 10.1016/j.na.2007.06.016Titel-ID: cdi_proquest_miscellaneous_33602083
- Format
- –
- Schlagworte
- 47H09, 47H10, 65J15, [formula omitted]-contraction, Banach space, Common fixed point, Exact sciences and technology, Functional analysis, General topology, Global analysis, analysis on manifolds, Mathematical analysis, Mathematics, Meir–Keeler type mapping, Nonexpansive mapping, Sciences and techniques of general use, Sunny and nonexpansive retraction, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds