Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

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DOI: https://doi.org/10.28924/2291-8639-22-2024-210
Published: Nov 11, 2024
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Ikechukwu Godwin Ezugorie, Godwin Chidi Ugwunnadi, Eric Uwadiegwu Ofoedu, Maggie Aphane, Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces, Int. J. Anal. Appl., 22 (2024), 210.

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Ikechukwu Godwin Ezugorie, Godwin Chidi Ugwunnadi, Eric Uwadiegwu Ofoedu, Maggie Aphane

Abstract

In this paper, we study accelerated Halpern-type iterative method for finding zero solution of sum of two monotone operators which solves variational inequality problem of inverse strongly monotone mapping in 2-uniformly convex and uniformly smooth real Banach spaces. The strong convergence of our proposed method is establish under some standard conditions imposed on parameters. Our theorems generalize many recently announced results in the literature.

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