Results 81 to 90 of about 2,802 (159)

Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
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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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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool. [PDF]

Heliyon, 2023
Maréchal M.
europepmc   +1 more source

Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core  

Multiple solutions for a problem with resonance involving the p-Laplacian

Abstract and Applied Analysis, 1998
In this paper we will investigate the existence of multiple solutions for the problem (P)                                                         −Δpu+g(x,u)=λ1h(x)|u|p−2u,     in     Ω,    u∈H01,p(Ω) where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator,
C. O. Alves, P. C. Carrião, O. H. Miyagaki   +2 more
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A Set-Valued Ekeland's Variational Principle in Vector Optimization

SIAM Journal on Control and Optimization, 2008
This paper deals with Ekeland's variational principle for vector optimization problems. By using a set-valued metric, a set-valued perturbed map, and a cone-boundedness concept based on scalarization, we introduce an original approach to extending the well-known scalar Ekeland's principle to vector-valued maps.
Gutierrez, C., Jimenez, B., Novo, V.
openaire   +3 more sources

Optimal control and cost-effective analysis of an age-structured emerging infectious disease model. [PDF]

Infect Dis Model, 2022
Jia P, Yang J, Li X.
europepmc   +1 more source

Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems

Nonlinear Analysis, 2019
The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous.
Iram Iqbal, Nawab Hussain
doaj   +1 more source

Multiple positive solutions for equations involving critical Sobolev exponent in R^N

Electronic Journal of Differential Equations, 1997
$$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions ...
Claudianor Oliveira Alves
doaj  

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
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