Results 101 to 110 of about 1,032 (207)

On the constancy theorem for anisotropic energies through differential inclusions. [PDF]

Calc Var Partial Differ Equ, 2021
Hirsch J, Tione R.
europepmc   +1 more source

The Equivalence of Several Basic Theorems for Subdifferentials

. Several different basic properties are used for developing a system of calculus for subdifferentials. They are a nonlocal fuzzy sum rule in [5, 25], a multidirectional mean value theorem in [7, 8], local fuzzy sum rules in [14, 15] and an extremal ...
Qiji J. Zhu
core  

Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]

J Optim Theory Appl, 2022
Wang J, Li S, Feng M.
europepmc   +1 more source

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]

Calc Var Partial Differ Equ, 2022
Colesanti A, Ludwig M, Mussnig F.
europepmc   +1 more source

Semistrictly and neatly quasiconvex programming using lower global subdifferentials

, 2023
: The main goal of this paper is to investigate the properties and connections of neatly and semistrictly quasiconvex functions, especially when they appear in constrained and unconstrained optimization problems.
Lara, F., Kabgani, Alireza
core  

Two Constraint Qualifications for Non-Differentiable Semi-Infinite Programming Problems Using Fr´echet and Mordukhovich Subdifferentials

Journal of Mathematical Extension, 2014
. In this paper, we consider the semi-infinite programming problems with non-differentiable emerging functions. Firstly, we give a counterexample showing that Theorem 3.1 of Ref. [10] is not true. Then, by modifying the assumptions of this theorem, we
N. Kanzi
doaj  

Separable reductions and rich families in theory of Fréchet subdifferentials

, 2015
We consider important properties of Fréchet subdifferentials, in particular: the non-emptiness of subdifferentials, the non-zeroness of normal cones, the fuzzy calculus, and the extremal principle; all statements being considered in Fréchet sense.
Fabian, Marián
core  

Subdifferentials at infinity and applications in optimization

, 2023
In this work, the notions of normal cones at infinity to unbounded sets and limiting and singular subdifferentials at infinity for extended real value functions are introduced. Various calculus rules for these notions objects are established.
Pham, Tien Son, Nguyen, Minh Tung, Kim, Do Sang   +2 more
core  

Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators

Open Mathematics, 2011
Ioan Boţ Radu, Grad Sorin-Mihai
doaj   +1 more source

Variable Smoothing for Weakly Convex Composite Functions. [PDF]

J Optim Theory Appl, 2021
Böhm A, Wright SJ.
europepmc   +1 more source