Published
2025-04-21
Section
Articles
How to Cite
New iterative methods for solving general harmonic-like variational inequalities
MUHAMMAD ASLAM NOOR
Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
KHALIDA INAYAT NOOR
Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
DOI: https://doi.org/10.59429/ijve.v2i1.9171
Keywords: Harmonic functions; harmonic Variational inequalities; auxiliary principle; iterative methods; convergence
Abstract
In this paper, we introduce and study some new classes of general harmonic-like variational inequalities. Auxiliary principle technique is applied to propose some iterative schemes for computing the approximate solution. Convergence analysis is investigated under certain weaker conditions. Several new problems such as harmonic-like complementarity problems, representation theorems and related optimization problems are discussed. The techniques and ideas developed in this paper can be used to develop new techniques for these problems.