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http://dx.doi.org/10.4134/JKMS.j160352

STRONG CONVERGENCE OF GENERAL ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

Jung, Jong Soo (Department of Mathematics, Dong-A University)

Publication Information

Journal of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 1031-1047 More about this Journal

Abstract

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 $G{\hat{a}}teaux$ 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 $G{\hat{a}}teaux$ differentiable norm;

Citations & Related Records

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