Results 101 to 110 of about 465 (165)

Note on Pontryagin maximum principle with running state constraints and smooth dynamics - Proof based on the Ekeland variational principle

, 2016
In this note our aim is to give a proof of the Pontryagin maximum principle for a general optimal control problem with running state constraints and smooth dynamics. Our proof is based on the classical Ekeland variational principle.
Bourdin, Loïc
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Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem

Fixed Point Theory and Applications, 2010
With a recent result of Suzuki (2001) we extend Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem in a complete metric space by replacing the distance with a τ-distance.
Zili Wu
doaj   +1 more source

O Teorema da aplicação inversa de Ekeland em espaços de Fréchet [PDF]

, 2022
In this work, we study the Ekeland's inverse function theorem in Fr echet spaces, that was published by Ekeland [8] in 2011. Initially, we present an inverse function theorem in Banach spaces (that is more general than the classical inverse function ...
Maia, Joémerson de Oliveira
core  

The Ekeland variational principle for Henig proper minimizers and super minimizers

, 2009
In this paper we consider, for the first time, approximate Henig proper minimizers and approximate super minimizers of a set-valued map F with values in a partially ordered vector space and formulate two versions of the Ekeland variational principle for ...
Ha, Truong Xuan Duc, Truong Xuan Duc Ha
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Equivalents to Ekeland's Variational Principle in F-type Topological Spaces

, 2001
We shall show that a recent version of Ekeland's principle in F-type topological spaces due to Fang from 1996 is implied by the Brezis-Browder principle on ordered sets.
Andreas H. Hamel
core  

Perturbed subcritical Dirichlet problems with variable exponents

Electronic Journal of Differential Equations, 2016
We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involving the p(x)-Laplace operator and power-type nonlinear terms with variable exponent.
Ramzi Alsaedi
doaj  

A variational principle and its connection with fixed point theory

, 1996
In this thesis, the following topics will be discussed; In chapter 2, a variational principle due to I. Ekeland (EVP) will be considered which deals with minimization of functions on a complete metric space; In chapter 3, the notion of completeness of a ...
Ohashi, Ryo
core   +1 more source

Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities

Electronic Journal of Differential Equations, 2020
In this article, we study the multiplicity of positive solutions for the biharmonic equation of Kirchhoff type involving concave-convex nonlinearities, $$ \Delta^2u-\Big(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\Big)\Delta u+V(x)u =\lambda f_1(x)|u|^{q-2 ...
Fengjuan Meng, Fubao Zhang, Yuanyuan Zhang   +2 more
doaj  

A generalized Ekeland’s variational principle for vector equilibria

, 2019
In this paper, we establish an Ekeland-type variational principle for vector valued bifunctions defined on complete metric spaces with values in locally convex spaces ordered by closed convex cones.
MIHOLCA, Mihaela
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The Ekeland's Variational Principle

, 2022
The present work has as target audience all students who have experience in Real Analysis. Some introductory results of Functional Analysis will be presented, as some definitions and results in metric spaces, having as main result: Ekeland’s ...
Azevedo, Mateus Vinicius Santos de
core