Mixed harmonic directional variational inequalities

Muhammad Aslam Noor; Khalida Inayat Noor; Kunrada Kankam

doi:10.2478/gm-2024-0005

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Mixed harmonic directional variational inequalities

General Mathematics

Volume 32 (2024): Issue 1 (June 2024)

By: Muhammad Aslam Noor, Khalida Inayat Noor and Kunrada Kankam

Open Access

|Jan 2025

Abstract

In this paper, we introduce and investigate some new classes of mixed harmonic directional variational inequalities. Several important new problems are obtained as special cases. The auxiliary principle technique is applied to suggest and analyze some hybrid inertial iterative methods for solving the mixed harmonic directional variational inequality. The convergence analysis of these iterative methods is also considered under some mild conditions. Some special cases are also pointed out. Results proved in this paper can be viewed as a significant refinement and improvement of the known results.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2024-0005 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 59 - 72

Submitted on: May 18, 2024

Accepted on: Jul 20, 2024

Published on: Jan 27, 2025

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Harmonic variational inequalities,

harmonic convex functions,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2025 Muhammad Aslam Noor, Khalida Inayat Noor, Kunrada Kankam, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 1 (June 2024)