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A MODIFIED SHRINKING PROJECTION METHODS FOR NUMERICAL RECKONING FIXED POINTS OF G-NONEXPANSIVE MAPPINGS IN HILBERT SPACES WITH GRAPHS
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A MODIFIED SHRINKING PROJECTION METHODS FOR NUMERICAL RECKONING FIXED POINTS OF G-NONEXPANSIVE MAPPINGS IN HILBERT SPACES WITH GRAPHS

H. A. Hammad, W. Cholamjiak, D. Yambangwai and H. Dutta
Mathematical notes (Miskolci Egyetem (Hungary)), Vol.20(2), pp.941-956
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we introduce four new iterative schemes by modifying the shrinking projection method with Ishikawa iteration and S-iteration. The strong convergence theorems are given for obtaining a common fixed point of two G-nonexpansive mappings in a Hilbert space with a directed graph. We also give some numerical experiments for supporting our main theorems and compare convergence rate between them.
url
https://doi.org/10.18514/MMN.2019.2954View
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