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

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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Bibliographic Details
Main Authors: Abdulmalik U. Bello, Charles E. Chidume, Maryam Alka
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Maximal monotone operators
Lipschitz-continuous operator
Forward–reflected–backward splitting method
2-uniformly convex spaces
Online Access:https://doi.org/10.1186/s13663-022-00732-9

Internet

https://doi.org/10.1186/s13663-022-00732-9

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