Harmonic-Like Quasi Bifunction Equilibrium Inclusions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-107
Published: Apr 7, 2026
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Khalida Inayat Noor, Muhammad Aslam Noor, Abdelouahed Hamdi, Harmonic-Like Quasi Bifunction Equilibrium Inclusions, Int. J. Anal. Appl., 24 (2026), 107.

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Khalida Inayat Noor, Muhammad Aslam Noor, Abdelouahed Hamdi

Abstract

Some classes of harmonic-like quasi bifunction equilibrium inclusions are introduced and investigated. Using various techniques such as resolvent methods, auxiliary principle, dynamical systems coupled with finite difference approach, we suggest and analyze a number of new multistep iterative methods for solving harmonic-like quasi bifunction equilibrium inclusions. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. One can obtain a number of new classes of harmonic-like quasi function equlibrium problems by interchanging the role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.

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