J. Korean Math. Soc. 2017; 54(3): 1031-1047
Online first article January 4, 2017 Printed May 1, 2017
https://doi.org/10.4134/JKMS.j160352
Copyright © The Korean Mathematical Society.
Jong Soo Jung
Dong-A University
In this paper, we introduce two general iterative algorithms (one implicit algorithm and other explicit algorithm) for nonexpansive mappings in a reflexive Banach space with a uniformly G\^ateaux differentiable norm. Strong convergence theorems for the sequences generated by the proposed algorithms are established.
Keywords: nonexpansive mapping, general iterative algorithms, strong positive linear operator, strongly pseudocontractive mapping, fixed points, uniformly G\^ateaux differentiable norm
MSC numbers: 47H10, 47H09
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