6533b85dfe1ef96bd12bf27d
RESEARCH PRODUCT
On Strong Convergence of Halpern’s Method for Quasi-Nonexpansive Mappings in Hilbert Spaces
Giuseppe MarinoAngela RugianoEnrique Llorens-fusterJesús García Falsetsubject
Discrete mathematics010102 general mathematicsHilbert spaceApproximation algorithmFixed pointType (model theory)variational inequality01 natural sciences010101 applied mathematicssymbols.namesakefixed pointModeling and SimulationScheme (mathematics)Variational inequalityConvergence (routing)symbolsQA1-9390101 mathematicsAnalysisapproximation algorithmMathematicsMathematicsdescription
In this paper, we introduce a Halpern’s type method to approximate common fixed points of a nonexpansive mapping T and a strongly quasi-nonexpansive mappings S, defined in a Hilbert space, such that I − S is demiclosed at 0. The result shows as the same algorithm converges to different points, depending on the assumptions of the coefficients. Moreover, a numerical example of our iterative scheme is given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-26 | Mathematical Modelling and Analysis |