Results 91 to 100 of about 1,231,124 (145)

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
doaj   +1 more source

Applications of Ekeland's principle to locally Lipschitzian functionals

, 2000
We prove an extension of a complement to Ekeland's variational principle for functionals whose domain is a particular subset of a Banach space.
STURIALE G., CHINNI', Antonia, CAMMAROTO, Filippo   +2 more
core  

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
doaj  

Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces

, 2021
Jian-Rong Wu, Xiao-San Tang
semanticscholar   +1 more source

Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

, 1999
International audienceIn this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle.
Bergounioux, Maïtine, Zidani, Housnaa
core   +2 more sources

Ekeland's variational principle for the set-valued map with variable ordering structures and applications

Journal of Industrial and Management Optimization, 2023
Zhiang Zhou, Zhen-Yu Tang, Kequan Zhao
semanticscholar   +1 more source

Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications

Fixed Point Theory and Applications, 2010
We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established by ...
Du Wei-Shih
doaj  

Ekeland's principle for cyclically antimonotone equilibrium problems

, 2016
In this paper, we deal with equilibrium problems without convexity assumptions either for the domain or for the function involved. First we give an Ekeland's variational principle for equilibrium problems on complete metric spaces which generalizes some ...
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core   +1 more source

On a complement to Ekeland's variational principle

, 1997
We give a sufficient condition to a closed convex hull of the set of the Ekeland's points of a certain lower semicontinuous function defined on a real Banach space X coincides with ...
CHINNI', Antonia
core   +1 more source

Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Fractal and Fractional
We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent.
Zhenyu Bai, Chuanzhi Bai
doaj   +1 more source