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- Title
STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPING OF GREGUS TYPE IN BANACH SPACES.
- Authors
Joshua, Olilima O.; Adesanmi, Mogbademu A.; Adefemi, Adeniran T.
- Abstract
In this paper, we introduced a new mapping called uniformly L-Lipschitzian mapping of Gregus type, and used the Mann iterative scheme to approximate the fixed point. A Strong convergence result for the sequence generated by the scheme is shown in real Banach space. Our result generalized and unify many recent results in this area of research. In addition, using Java (jdk 1.8.0_101), we give a numerical example to support our claim.
- Subjects
BANACH spaces; NONEXPANSIVE mappings
- Publication
Facta Universitatis, Series: Mathematics & Informatics, 2020, Vol 35, Issue 5, p1259
- ISSN
0352-9665
- Publication type
Article