Results 101 to 110 of about 343 (158)

Minimal element theorems and Ekeland's variational principle with new set order relations

, 2018
By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski ...
Yao, Jen Chih, Sharma, Pradeep Kumar, Ansart, Qamrul Hasan   +2 more
core  

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

A maximum principle for nonsmooth optimal-control problems with state constraints

, 1982
Optimality conditions are derived in the form of a maximum principle governing solutions to an optimal control problem which involves state constraints.
Vinter, R.B, Pappas, G
core   +1 more source

An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities

, 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 ...
Casas, Eduardo, Bonnans, J. Frederic
core   +1 more source

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  

Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On new critical point theorems without the Palais–Smale condition

, 2016
In this paper we prove new theorems on critical point theory based on the weak Ekeland's variational ...
Briki, Mabrouk, O'Regan, Donal, Moussaoui, Toufik   +2 more
core   +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  

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

On the existence of G-symmetric entire solutions for semilinear elliptic equations

, 1992
We prove the existence of at least two solutions of problem (1).
Chabrowski J.
core   +1 more source