An efficient iterative algorithm for common solutions of three G-nonexpansive mappings in Banach spaces involving a graph with applications to signal and image restoration problems

• Published in: AIMS mathematics Vol. 7; no. 1; pp. 1366 - 1398
• Main Authors: Yambangwai, Damrongsak, Thianwan, Tanakit
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: coordinate-convex; g-nonexpansive mapping; image deblurring problem; signal recovering problem; weak and strong convergence
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2022081

In this paper, three G-nonexpansive mappings are implemented and analyzed using an efficient modified three-step iteration algorithm. Assuming coordinate-convexity in a uniformly convex Banach space endowed with a directed graph, conditions for the weak and strong convergence of the scheme are deter...