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STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPING OF GREGUS TYPE IN BANACH SPACES
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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.
Title: STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPING OF GREGUS TYPE IN BANACH SPACES
Description:
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.
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