A generalization of Ekeland's variational principle with applications
Electronic Journal of Differential Equations, 2006 In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
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Generalized Ekeland’s variational principle with applications [PDF]
Journal of Inequalities and Applications, 2019 By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m spaces with Γ-distances.
Eshagh Hashemi +2 more
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A generalized form of Ekeland’s variational principle [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
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Multiple Solutions for a Singular Quasilinear Elliptic System [PDF]
The Scientific World Journal, 2013 We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial
Lin Chen, Caisheng Chen, Zonghu Xiu
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Parametric Ekeland's variational principle
Applied Mathematics Letters, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georgiev, P.G., P.G. Georgiev
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A generalization of Ekeland’s variational principle by using the τ-distance with its applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated.
AP Farajzadeh, S Plubtieng, A Hoseinpour
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Maximum principle for a stochastic delayed system involving terminal state constraints [PDF]
Journal of Inequalities and Applications, 2017 We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set.
Jiaqiang Wen, Yufeng Shi
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces [PDF]
Abstract and Applied Analysis, 2012 Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu +3 more
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One remark to Ekeland's variational principle
Computers & Mathematics with Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov, A., Bobylev, N., Korovin, S.
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Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems [PDF]
Abstract and Applied Analysis, 2011 By applying hybrid inclusion and disclusion systems (HIDS), we establish several vectorial variants of system of Ekeland's variational principle on topological vector spaces, some existence theorems of system of parametric vectorial quasi-equilibrium ...
Wei-Shih Du
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