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Harmonic-Like Quasi Bifunction Equilibrium Inclusions

International Journal of Analysis and Applications | 2026

Paper Details

Authors: Noor K.I.; Noor M.A.; Hamdi A.

DOI: 10.28924/2291-8639-24-2026-107

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

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. © 2026 the author(s).

Keywords

convergence; dynamical system; equilibrium inclusions; fixed point; harmonic-like convex functions; iterative methods; sensitivity analysis