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

Article scientifique 2022 Anglais

Résumé

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 existing algorithms. Finally, our results extend and complement several existing results in the literature.

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Bello, A., Chidume, C., Alka, M. (2022). Self-adaptive forward–backward splitting algorithm for the sum of two monotone operators in Banach spaces. https://doi.org/10.1186/s13663-022-00732-9

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Auteur(s)

A. U. Bello C.E. Chidume Maryam Alka

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