Results 1 to 10 of about 514 (163)

Epsilon Solutions and Duality in Vector Optimization [PDF]

, 1987
This paper is a continuation of the author's previous investigations in the theory of epsilon-solutions in convex vector optimization and serves as a theoretical background for the research of SDS in the field of multicriteria optimization.
Valyi, I.
core   +1 more source

A minimization theorem in quasi-metric spaces and its applications

International Journal of Mathematics and Mathematical Sciences, 2002
We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland's ϵ-variational principle.
Jeong Sheok Ume
doaj   +1 more source

Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms

Boundary Value Problems, 2019
In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains  Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
doaj   +1 more source

Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent

International Journal of Differential Equations, 2015
We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.
Mohammed El Mokhtar Ould El Mokhtar
doaj   +1 more source

Positive solution for a nonlocal problem with strong singular nonlinearity

Open Mathematics, 2023
In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue, Wei Wei, Xiong Zong-Hong, Yang Jian   +3 more
doaj   +1 more source

Ekeland’s variational principle for interval-valued functions with an α-level set in Kaleva-Seikkala’s type fuzzy metric spaces

Demonstratio Mathematica
In 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
doaj   +1 more source

On Necessary and Sufficient Conditions for Near-Optimal Singular Stochastic Controls [PDF]

, 2011
This paper is concerned with necessary and sufficient conditions for near-optimal singular stochastic controls for systems driven by a nonlinear stochastic differential equations (SDEs in short).
A. Cadenillas, F. Chighoub, F. Dufour, F. Dufour, F.H. Clarke, I. Ekeland, I. Karatzas, J. Yong, K. Bahlali, L.H.R. Alvarez, L.H.R. Alvarez, L.P. Pan, L.S. Pontryagin, Mokhtar Hafayed, Petr Veverka, R. Bellman, R. Gabasov, S. Bahlali, S. Bahlali, S. Peng, Syed Abbas, X.Y. Zhou, X.Y. Zhou, X.Y. Zhou   +23 more
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Parametric Ekeland's variational principle

Applied Mathematics Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics

Journal of Optimization Theory and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai, Le Phuoc, Khanh, Phan Quoc, Soubeyran, Antoine   +2 more
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Pontryagin´s principle for state-constrained boundary control problems of semilinear parabolic equations [PDF]

, 1997
This paper deals with state-constrained optimal control problems governed by semilinear parabolic equations. We establish a minimum principle of Pontryagin's type.
Barbu V., Casas Eduardo, DiBenedetto E., Eduardo Casas, Fattorini H., Lions J., Serrin J., Tröltzsch F., Yong Jiong   +8 more
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