Le Matematiche, 2006 A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
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Ekeland's variational principle for vector optimization with variable ordering structure [PDF]
, 2014 There are many generalizations of Ekeland's variational principle for vector optimization problems with fixed ordering structures, i.e., ordering cones.
Eichfelder, Gabriele +3 more
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The Existence of Cone Critical Point and Common Fixed Point with Applications
Journal of Applied Mathematics, 2011 We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
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An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities [PDF]
, 1992 Projet PROMATHThis paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability ...
Bonnans, J. Frederic, Casas, Eduardo
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Ekeland Variational Principle in asymmetric locally convex spaces
Topology and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Ekeland's Variational Principle and a Minimax Theorem
Journal of Mathematical Analysis and Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian
Advances in Mathematical Physics, 2015 We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator: -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in Ω, ∂u/∂ν=0, on ∂Ω.
Qing Miao
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Ekeland's principle and nuclear cones: A geometrical aspect
Mathematical and Computer Modelling, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces
Abstract and Applied Analysis, 2014 We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
Mohamed Jleli +3 more
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Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
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