| Muhammad Aslam Noor†, Khalida Inayat Noor‡
Abstract: Some newclasses of general triequilibrium inclusions are introduced and investigated. We establish the equivalence between the general triequilibrium inclusions and the fixed point problems, which is used to discuss the existence of the unique solution. Using various techniques such as resolvent methods and dynamical systems coupled with finite difference approach, we suggest and analyze a number of new multi step methods for solving triequilibrium inclusions. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research. Keywords: equilibrium inclusions, convex functions, fixed points, iterative methods, convergence analysis, dynamical system, sensitivity analysis. MSC: 26D15, 26D10, 49J40, 65N35,49J40, 90C26, 90C30. DOI 10.56082/annalsarscimath.2026.2.179 †noormaslam@gmail.com, Department of Mathematics, University of Wah, Wah Cantt, Pakistan |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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