Strong convergence theorems for a Mann-type iterative scheme for a family of Lipschitzian mappings
DOI10.1007/s12190-009-0354-2zbMath1225.47091OpenAlexW2066879838MaRDI QIDQ2430473
C. O. Chidume, Yekini Shehu, Charles E. Chidume
Publication date: 6 April 2011
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-009-0354-2
strong convergencecommon fixed pointmodulus of convexityuniformly Gâteaux differentiable normLipschitzian mapsreflexive real Banach spaces
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Convergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spaces
- Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
- Normal structure coefficients for Banach spaces
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Iterative approximation of fixed points of nonexpansive mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Geometric properties of Banach spaces and nonlinear iterations
- Donsker's Delta Function and the Covariance between Generalized Functionals
- Fixed point theorems for asymptotically nonexpansive mappings
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Characterizations of Normal Structure
- Fixed points of nonexpanding maps
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