Self-adaptive forward–backward splitting algorithm for the sum of two monotone operators in Banach spaces

Abstract In this work, we prove the weak convergence of a one-step self-adaptive algorithm to a solution of the sum of two monotone operators in 2-uniformly convex and uniformly smooth real Banach spaces. We give numerical examples in infinite-dimensional spaces to compare our result with some exist...

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Auteurs principaux:	Abdulmalik U. Bello, Charles E. Chidume, Maryam Alka
Format:	Artigo
Langue:	Inglês
Publié:	SpringerOpen 2022-12-01
Collection:	Fixed Point Theory and Algorithms for Sciences and Engineering
Sujets:	Maximal monotone operators Lipschitz-continuous operator Forward–reflected–backward splitting method 2-uniformly convex spaces
Accès en ligne:	https://doi.org/10.1186/s13663-022-00732-9
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