Results 41 to 50 of about 486 (163)

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
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Ekeland variational principles for vector equilibrium problems

Optimization, 2022
This work concerns Ekeland variational principles for scalar and vector cyclically antimonotone bifunctions on complete metric spaces. The scalar results work for extended bifunctions and they are obtained by a generalized version of the Dancs–Hegedüs–Medvegyev's fixed point theorem.
Bao, T. Q., Gutiérrez Vaquero, César
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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
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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
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Ekeland variational principle on weighted graphs

Proceedings of the American Mathematical Society, 2019
In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi’s fixed point theorem are equivalent ...
Monther Alfuraidan, Mohamed Khamsi
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High Order Inverse Function Theorems [PDF]

, 1988
We prove several first order and high order inverse mapping theorems for maps defined on a complete metric space and provide a number of ...
Frankowska, H.
core   +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
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Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
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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
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Parametric Ekeland's variational principle

Applied Mathematics Letters, 2001
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