Abstract
Equilibrium programming is a broad area of mathematics that studies mathematical models of numerous phenomena in natural sciences and economics. A typical situation is when exact values of functional \(\Phi(v,w)\) are not available when finding the numerical solution to the equilibrium programming problem and only their approximations \(\Phi^{\delta}(v,w)\) are known. It is known that numerical models do not always work correctly, and different means of regularization must be applied. One of the best-known of these is Tikhonov’s regularization, which is usually used in processing approximate data. A regularized shooting model based on Tikhonov regularization is proposed for solving problems of equilibrium programming with inexact data.
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Translated by I. Tselishcheva
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Dongyu, H., Budak, B.A. Modifying the Shooting Model for Solving Equilibrium Problems. MoscowUniv.Comput.Math.Cybern. 46, 163–170 (2022). https://doi.org/10.3103/S0278641922030050
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DOI: https://doi.org/10.3103/S0278641922030050