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Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
-
Charles E. Chidume
and
Yekini Shehu
Published/Copyright:
October 9, 2013
Abstract.
In this paper, we introduce a new explicit iterative scheme for approximation of fixed points of demicontinuous pseudocontractive mappings in uniformly smooth Banach spaces and prove strong convergence of our proposed iterative scheme. Furthermore, we modify our explicit iterative scheme for approximation of zeroes of bounded demicontinuous accretive mappings in uniformly smooth Banach spaces. Our result improves, extends and unifies most of the results that have been proved for this class of mappings.
Keywords: Demicontinuous pseudocontractive mappings; fixed points; strong convergence; uniformly smooth Banach spaces
Received: 2012-05-25
Revised: 2012-09-28
Accepted: 2012-12-15
Published Online: 2013-10-09
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Demicontinuous pseudocontractive mappings;
fixed points;
strong convergence;
uniformly smooth Banach spaces
Articles in the same Issue
- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
