Alternated dual inertial concurring algorithms for the generalized variational inclusion problems with applications

I. K. Agwu; A. E. Ofem; G. C. Ugwunnadi; O. K. Narain

doi:10.1007/s12215-026-01488-6

Alternated dual inertial concurring algorithms for the generalized variational inclusion problems with applications

I. K. Agwu^*
, A. E. Ofem
, G. C. Ugwunnadi
, O. K. Narain

^*Corresponding author for this work

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

Abstract

In this paper, we investigate the generalized variational inclusion problem in Hilbert spaces. To solve this problem, we propose a novel alternating dual inertial concurring algorithm and establish a rigorous convergence theorem for the proposed method. We further demonstrate the applicability of our results by addressing several related problems. Finally, we present numerical examples that illustrate the efficiency, accuracy, and practical implementability of the proposed algorithm.

Original language	English
Article number	174
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	75
Issue number	6
DOIs	https://doi.org/10.1007/s12215-026-01488-6
Publication status	Published - Oct 2026
Externally published	Yes

Keywords

Alternated inertial
Fixed point problem
Hilbert space
Lipschitz mapping
Minimization problem
Split feasibility problem
Variational inequality

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10.1007/s12215-026-01488-6

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keywords = "Alternated inertial, Fixed point problem, Hilbert space, Lipschitz mapping, Minimization problem, Split feasibility problem, Variational inequality",

author = "Agwu, \{I. K.\} and Ofem, \{A. E.\} and Ugwunnadi, \{G. C.\} and Narain, \{O. K.\}",

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AU - Narain, O. K.

N1 - Publisher Copyright: © The Author(s) 2026.

PY - 2026/10

Y1 - 2026/10

N2 - In this paper, we investigate the generalized variational inclusion problem in Hilbert spaces. To solve this problem, we propose a novel alternating dual inertial concurring algorithm and establish a rigorous convergence theorem for the proposed method. We further demonstrate the applicability of our results by addressing several related problems. Finally, we present numerical examples that illustrate the efficiency, accuracy, and practical implementability of the proposed algorithm.

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KW - Alternated inertial

KW - Fixed point problem

KW - Hilbert space

KW - Lipschitz mapping

KW - Minimization problem

KW - Split feasibility problem

KW - Variational inequality

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ER -

Alternated dual inertial concurring algorithms for the generalized variational inclusion problems with applications

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Keywords

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