Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

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

doi:10.28924/2291-8639-22-2024-210

Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	210
Journal	International Journal of Analysis and Applications
Volume	22
DOIs	https://doi.org/10.28924/2291-8639-22-2024-210
Publication status	Published - 2024
Externally published	Yes

Keywords

Banach spaces
monotone and inverse mappings
strong convergence
variational inclusion problem

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10.28924/2291-8639-22-2024-210

Cite this

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title = "Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces",

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.",

keywords = "Banach spaces, monotone and inverse mappings, strong convergence, variational inclusion problem",

author = "Ezugorie, \{Ikechukwu Godwin\} and Ugwunnadi, \{Godwin Chidi\} and Ofoedu, \{Eric Uwadiegwu\} and Maggie Aphane",

note = "Publisher Copyright: {\textcopyright} 2024 the author(s).",

year = "2024",

doi = "10.28924/2291-8639-22-2024-210",

language = "English",

volume = "22",

journal = "International Journal of Analysis and Applications",

issn = "2291-8639",

publisher = "Semnan University, Center of Excellence in Nonlinear Analysis and Applications",

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T1 - Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

AU - Ezugorie, Ikechukwu Godwin

AU - Ugwunnadi, Godwin Chidi

AU - Ofoedu, Eric Uwadiegwu

AU - Aphane, Maggie

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Banach spaces

KW - monotone and inverse mappings

KW - strong convergence

KW - variational inclusion problem

UR - https://www.scopus.com/pages/publications/85210017916

U2 - 10.28924/2291-8639-22-2024-210

DO - 10.28924/2291-8639-22-2024-210

M3 - Article

AN - SCOPUS:85210017916

SN - 2291-8639

VL - 22

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 210

ER -

Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces

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Keywords

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