Convergence theorems for three G-nonexpansive mappings in hilbert spaces with graphs by modifying SP and noor iterations with shrinking projection methods

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Date

2019

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Maltepe Üniversitesi

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CC0 1.0 Universal
info:eu-repo/semantics/openAccess

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Abstract

In this work, we propose two new iterative schemes by modifying the shrinking projection method with Noor and SP iterations. The strong convergence theorems are given for obtaining a common fixed point of three G-nonexpansive mappings in a Hilbert space with a directed graph under some suitable conditions. Finally, we give some numerical examples for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.

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SP-iteration, Shrinking projection, G-nonexpansive mappings, Noor-iteration, Hilbert space

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International Conference of Mathematical Sciences (ICMS 2019)

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Pheetarakorn, S., Pholasa, N. ve Cholamjiak, W. (2019). Convergence theorems for three G-nonexpansive mappings in hilbert spaces with graphs by modifying SP and noor iterations with shrinking projection methods. International Conference of Mathematical Sciences (ICMS 2019). s. 105.