Posts by Andrei Stan


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.


Andrei Stan
Faculty of Mathematics and Computer Science, Babeș-Bolyai University
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy


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,


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Journal of Numerical Analysis and Approximation Theory

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Publishing House of the Romanian Academy

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[9] R. Precup,The role of matrices that are convergent to zero in the study of semilinearoperator systems, Math. Comput. Modelling,49(2009) no. 3, pp. 703–708,
[10] G. Ciarlet,Linear and Nonlinear Functional Analysis with Applications, SIAM,Philadelphia, 2013.
[11] H. Brezis,Functional Analysis, Sobolev Spaces and Partial Differential Equations,Springer, New York, 2011,
[12] R. Precup,Linear and Semilinear Partial Differential Equations, De Gruyter, Berlin,2013.
[13] A. Cabada,Green’s Functions in the Theory of Ordinary Differential Equations,Springer, New York, 2014,

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