STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPING OF GREGUS TYPE IN BANACH SPACES

Olilima O. Joshua, Mogbademu A. Adesanmi, Adeniran T. Adefemi

DOI Number
https://doi.org/10.22190/FUMI2005259J
First page
1259
Last page
1271

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 unifybmany recent results in this area  of research. In addition, using Java(jdk1.8.0_101), we give a numericalbexample to support our claim.


Keywords

Mann iterative scheme; uniformly L-Lipschitzian mapping; normalized duality mapping.

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References


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DOI: https://doi.org/10.22190/FUMI2005259J

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