An iterative method for multivalued tempered Lipschitz hemicontractive mappings

In this paper we introduce a new general class of multi-valued Lipschitz hemicontractive mappings. We then prove strong convergence theorems for finding a fixed point of the mapping using a new two steps averaged algorithm. The method used in the proof is new and enables us to systematically avoid s...

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Bibliographic Details
Published in:Afrika mathematica 2017-06, Vol.28 (3-4), p.595-604
Main Author: Okpala, M. E.
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
History of Mathematical Sciences
Iterative methods
Mathematics
Mathematics and Statistics
Mathematics Education
Theorems
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Summary:In this paper we introduce a new general class of multi-valued Lipschitz hemicontractive mappings. We then prove strong convergence theorems for finding a fixed point of the mapping using a new two steps averaged algorithm. The method used in the proof is new and enables us to systematically avoid so many strong assumptions in the contemporary literature. The theorems obtained generalize and improve many results in the literature.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-016-0468-2