Results 1 to 10 of about 1,231,124 (145)
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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Demonstratio MathematicaIn this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
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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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On Ekeland's variational principle for interval-valued functions with applications [PDF]
Fuzzy Sets Syst., 2021 In this paper, we obtain a version of Ekeland’s variational principle for interval-value functions by means of the Dancs-Hegedüs-Medvegyev theorem [14].
Chuang-Liang Zhang, Nan-Jing Huang
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Ekeland’s variational principle with a scalarization type weighted set order relation
Journal of Nonlinear and Variational Analysis, 2023 . In this paper, a weighted set order relation given by the oriented distance function is introduced, which does not need any convexity and is applicable even the ordering cone has an empty interior.
Wenyan Han, Guo-Lin Yu
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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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Equilibria of time‐inconsistent stopping for one‐dimensional diffusion processes
Mathematical Finance, Volume 33, Issue 3, Page 797-841, July 2023., 2023 Abstract We consider three equilibrium concepts proposed in the literature for time‐inconsistent stopping problems, including mild equilibria (introduced in Huang and Nguyen‐Huu (2018)), weak equilibria (introduced in Christensen and Lindensjö (2018)), and strong equilibria (introduced in Bayraktar et al. (2021)). The discount function is assumed to be
Erhan Bayraktar, Zhenhua Wang, Zhou Zhou
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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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