Results 1 to 10 of about 179 (120)
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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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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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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A New Equilibrium Version of Ekeland’s Variational Principle and Its Applications
Axioms, 2022 In this note, a new equilibrium version of Ekeland’s variational principle is presented. It is a modification and promotion of previous results. Subsequently, the principle is applied to discuss the equilibrium points for binary functions and the fixed ...
Yuqiang Feng, Juntao Xie, Bo Wu
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Ekeland’s variational principle for interval-valued functions
Computational and Applied Mathematics, 2023 In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of intervals. In the sequel, the idea of gH-semicontinuity for IVFs is explored.
Gourav Kumar, Debdas Ghosh
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Axioms, 2021 In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland’s variational principle and common (fuzzy) fixed ...
Junjian Zhao, Wei-Shih Du
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Existence results for a sublinear second order Dirichlet boundary value problem on the half-line [PDF]
Opuscula Mathematica, 2020 In this paper we study the existence of nontrivial solutions for a boundary value problem on the half-line, where the nonlinear term is sublinear, by using Ekeland's variational principle and critical point theory.
Dahmane Bouafia, Toufik Moussaoui
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