Approximating fixed points of 2-generalized hybrid mappings in Banach spaces and CAT(0) spaces (Q2925800)
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scientific article; zbMATH DE number 6361930
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating fixed points of 2-generalized hybrid mappings in Banach spaces and CAT(0) spaces |
scientific article; zbMATH DE number 6361930 |
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27 October 2014
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2-generalized hybrid mapping
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fixed point
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uniformly convex Banach space
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CAT(0) spaces
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Riemannian manifolds
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weak convergence
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strong convergence
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Ishikawa iterations
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Approximating fixed points of 2-generalized hybrid mappings in Banach spaces and CAT(0) spaces (English)
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The present paper deals with the study of some weak and strong convergence results for Ishikawa and Halpern iterations using 2-generalized hybrid mappings in uniformly convex Banach spaces. The author provides an affirmative answer to an open question posed by \textit{M. Hojo} et al. [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2166--2176 (2012; Zbl 1295.47081)]. Also, results of strong and \(\Delta\)-convergence in Banach spaces are extended to CAT (0) spaces using 2-generalized hybrid mappings. Some examples and remarks are given to illustrate the results. These results improve and generalize some known results in the current literature.
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