A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool [PDF]
Heliyon, 2023 In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family of multifunctions to be metrically subregular which are stronger than the known sufficient ...
Matthieu Maréchal
exaly +4 more sources
Journal of Inequalities and Applications, 2020 The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem.
Xiaowei Xue
doaj +1 more source
NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES
Tạp chí Khoa học Đại học Đà Lạt, 2012 This paper establishes an upper estimate for the Frechet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces.
Nguyễn Thành Quí
doaj +1 more source
Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
doaj +1 more source
On the theory of subdifferentials
Advances in Nonlinear Analysis, 2012 The theory presented in the paper consists of two parts. The first is devoted to basic concepts and principles such as the very concept of a subdifferential, trustworthiness and its characterizations, geometric consistence, fuzzy principles and calculus ...
Ioffe Alexander D.
doaj +1 more source
Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative
Journal of Inequalities and ApplicationsIn this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a multifunction.
Xicai Deng, Yibo Liu, Chongyi Zhong
doaj +1 more source
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
europepmc +1 more source
On the canonical energy of weak gravitational fields with a cosmological constant Λ ∈ R. [PDF]
Eur Phys J C Part Fields, 2021 Chruściel PT +3 more
europepmc +1 more source
EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS
Tạp chí Khoa học Đại học Đà Lạt, 2012 Nguyễn Quang Huy, Jen Chih Yao
doaj +1 more source
A Proteotranscriptomic-Based Computational Drug-Repositioning Method for Alzheimer's Disease. [PDF]
Front Pharmacol, 2019 Lee SY +7 more
europepmc +1 more source