Abstract
In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while also relaxing specific initial assumptions. To achieve this, we employ an iterative scheme that combines a fixed-point argument based on the Minty-Browder Theorem with a modified version of the Ekeland variational principle for bounded sets. An application to a system of second-order differential equations with Dirichlet boundary conditions is presented.
Authors
Andrei Stan
Faculty of Mathematics and Computer Science, Babeș-Bolyai University
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Keywords
Nash equilibrium; iterative methods; Ekeland variational principle; monotone operator.
Paper coordinates
A. Stan, Localization of Nash-type equilibria for systems with partial variational structure, Journal of Numerical Analysis and Approximation Theory, 52 (2023) no. 2, pp. 253–272, https://doi.org/10.33993/jnaat522-1356
About this paper
Journal
Journal of Numerical Analysis and Approximation Theory
Publisher Name
Publishing House of the Romanian Academy
Print ISSN
2457-6794
Online ISSN
2501-059X
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