Results 21 to 30 of about 465 (165)

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

Abstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla, Cyrille Dansou, Fortuné Dohemeto   +2 more
doaj   +2 more sources

Ekeland Variational Principle in the Variable Exponent Sequence Spaces ℓ_p(·)

Mathematics, 2020
In this work , we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces ℓ p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure
Monther R. Alfuraidan, Mohamed A. Khamsi   +1 more
doaj   +2 more sources

Parametric Ekeland's variational principle

Applied Mathematics Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces [PDF]

Abstract and Applied Analysis, 2012
Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu   +3 more
doaj   +2 more sources

Critical Point Theorems and Ekeland Type Variational Principle with Applications

Fixed Point Theory and Applications, 2011
We introduce the notion of -spaces which is much weaker than cone metric spaces defined by Huang and X. Zhang (2007). We establish some critical point theorems in the setting of -spaces and, in particular, in the setting of complete cone metric spaces.
Ansari QamrulHasan, Lin Lai-Jiu, Wang Sung-Yu   +2 more
doaj   +3 more sources

Approximate Solutions of Variational Inequalities and the Ekeland Principle

Mathematics
Let K be a closed convex subset of a real Banach space X, and let F be a map from X to its dual X*. We study the so-called variational inequality problem: given y∈X*,, does there exist x0∈K such that (in standard notation) F(x0)−y,x−x0≥0 for all x∈K ...
Raffaele Chiappinelli, David E. Edmunds
doaj   +2 more sources

Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Mathematics, 2018
We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
doaj   +2 more sources

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.
C Gutierrez, Bienvenido Jiménez, V Novo   +2 more
exaly   +4 more sources

Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cobzaş, S.
openaire   +2 more sources

An Ekeland’s variational principle for set-valued mappings with applications

Journal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S J Li
exaly   +3 more sources