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Modified semi-implicit midpoint rule for nonexpansive mappings
Journal article   Open access  Peer reviewed

Modified semi-implicit midpoint rule for nonexpansive mappings

Yonghong Yao, Naseer Shahzad, Yeong-Cheng Liou and Nadia Shahzad
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-15
17/09/2015
DOI: https://doi.org/10.1186/s13663-015-0414-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The purpose of the paper is to construct iterative methods for finding the fixed points of nonexpansive mappings. We present a modified semi-implicit midpoint rule with the viscosity technique. We prove that the suggested method converges strongly to a special fixed point of nonexpansive mappings under some different control conditions. Some applications are also included.
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https://doi.org/10.1186/s13663-015-0414-2View
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