Results 31 to 40 of about 2,802 (159)

H\"older Error Bounds and H\"older Calmness with Applications to Convex Semi-Infinite Optimization [PDF]

, 2019
Using techniques of variational analysis, necessary and sufficient subdifferential conditions for H\"older error bounds are investigated and some new estimates for the corresponding modulus are obtained.
Kruger, Alexander, López, Marco, Yang, Xiaoqi, Zhu, Jiangxing   +3 more
core   +4 more sources

Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications

Journal of Function Spaces and Applications, 2013
The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact ...
De-ning Qu, Cao-zong Cheng
doaj   +1 more source

On a class of fractional p(., .)-Kirchhoff-Schrödinger system type

European Journal of Mathematics and Applications, 2023
In the present article, we study the existence of a weak solution to an elliptic system of Kirchhoff-Shrodinger type, driven by the fractional $p(.,.)$-Laplacian operator.
H. El-Houari, L.S. Chadli, H. Moussa
doaj  

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   +1 more source

New contributions for tripled fixed point methodologies via a generalized variational principle with applications

Alexandria Engineering Journal, 2022
This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces.
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
doaj   +1 more source

Ekeland Variational Principle and Some of Its Equivalents on a Weighted Graph, Completeness and the OSC Property

Axioms, 2023
We prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph G and its equivalence to Caristi fixed point theorem and to the Takahashi minimization principle.
Basit Ali, Ştefan Cobzaş, Mokhwetha Daniel Mabula   +2 more
doaj   +1 more source

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

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   +1 more source

Nonlinear Versions of a Vector Maximal Principle [PDF]

, 2011
Some nonlinear extensions of the vector maximality statement established by Goepfert, Tammer and Zalinescu [Nonl. Anal., 39 (2000), 909-922] are given. Basic instruments for these are the Brezis-Browder ordering principle [Advances Math., 21 (1976), 355 ...
Turinici, Mihai
core   +1 more source

Pareto efficiency for the concave order and multivariate comonotonicity [PDF]

, 2011
In this paper, we focus on efficient risk-sharing rules for the concave dominance order. For a univariate risk, it follows from a comonotone dominance principle, due to Landsberger and Meilijson [25], that efficiency is characterized by a comonotonicity ...
Carlier, Guillaume, Dana, Rose-Anne, Galichon, Alfred   +2 more
core   +4 more sources

Exact and approximate vector Ekeland variational principles

Optimization, 2021
Producción ...
T. Q. Bao, C. Gutiérrez, V. Novo, J. L. Ródenas-Pedregosa   +3 more
openaire   +2 more sources