Maximum principle for a stochastic delayed system involving terminal state constraints. [PDF]
J Inequal Appl, 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.
Wen J, Shi Y.
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An Optimal Control Problem of Forward-Backward Stochastic Volterra Integral Equations with State Constraints [PDF]
Abstract and Applied Analysis, 2014 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Qingmeng Wei, Xinling Xiao
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A generalization of Ekeland's variational principle by using the τ-distance with its applications. [PDF]
J Inequal Appl, 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.
Farajzadeh AP +2 more
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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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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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Nonlinear Versions of a Vector Maximal Principle [PDF]
, 2011 Some nonlinear extensions of the vector maximality statement established by Goepfert, Tammer and Zalinescu [Nonl. Anal., 39 (2000), 909-922] are given. Basic instruments for these are the Brezis-Browder ordering principle [Advances Math., 21 (1976), 355 ...
Turinici, Mihai
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Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
, 2017 A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
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Generalized Ekeland’s variational principle with applications
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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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
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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