Search Results - "coderivatives"

POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION by DUREA, Marius, FLOREA, Elena-Andreea, STRUGARIU, Radu

“…We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in…”
Get full text

On the directional asymptotic approach in optimization theory by Benko, Matúš, Mehlitz, Patrick

“…As a starting point of our research, we show that, for a fixed order $$\gamma \ge 1$$ γ ≥ 1 , each local minimizer of a rather general nonsmooth optimization…”
Get full text

Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces by Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

“…This paper addresses the study of novel constructions of variational analysis and generalized differentiation that are appropriate for characterizing robust…”
Get full text

On the Application of the SCD Semismooth Newton Method to Variational Inequalities of the Second Kind by Gfrerer, Helmut, Outrata, Jiří V., Valdman, Jan

“…The paper starts with a description of SCD (subspace containing derivative) mappings and the SCD Newton method for the solution of general inclusions. This…”
Get full text

The Least Singular Value Function in Variational Analysis by Jelitte, Mario, Mordukhovich, Boris S.

“…Metric regularity is among the central concepts of nonlinear and variational analysis, constrained optimization, and their numerous applications. However,…”
Get full text

Primal–Dual Stability in Local Optimality by Benko, Matúš, Rockafellar, R. Tyrrell

“…Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem’s parameters, including tilt…”
Get full text

Lipschitz-Like Property for Linear Constraint Systems by Yao, Wenfang, Yang, Xiaoqi

“…In this paper, we consider a linear constraint system with a set constraint. We investigate the Lipschitz-like property of such systems with an explicit set…”
Get full text

Variational Analysis of Paraconvex Multifunctions by Van Ngai, Huynh, Tron, Nguyen Huu, Van Vu, Nguyen, Théra, Michel

“…Our aim in this article is to study the class of so-called ρ - paraconvex multifunctions from a Banach space X into the subsets of another Banach space Y …”
Get full text

Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis by Mordukhovich, B. S., Nam, N. M., Rector, R. B., Tran, T.

“…This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in…”
Get full text

Optimality Conditions for Approximate Pareto Minimality by Durea, Marius

“…In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in…”
Get full text

Full Stability of Locally Optimal Solutions in Second-Order Cone Programs by Mordukhovich, Boris S., Outrata, Jiří V., Sarabi, M. Ebrahim

“…The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed…”
Get full text

Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation by Mordukhovich, Boris S., Pérez-Aros, Pedro

“…This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We…”
Get full text

Algebraic core and convex calculus without topology by Van Cuong, Dang, Mordukhovich, Boris S., Mau Nam, Nguyen, Cartmell, Addison

“…In this paper we study the concept of algebraic core for convex sets in general vector spaces without any topological structure and then present its…”
Get full text

Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities by Henrion, René, Mordukhovich, Boris S., Nam, Nguyen Mau

“…This paper concerns second-order analysis for a remarkable class of variational systems in finite-dimensional and infinite-dimensional spaces, which is…”
Get full text

Generalized differentiation of piecewise linear functions in second-order variational analysis by Mordukhovich, Boris S., Sarabi, M. Ebrahim

“…The paper is devoted to a comprehensive second-order study of a remarkable class of convex extended-real-valued functions that is highly important in many…”
Get full text

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints by Hintermüller, Michael, Mordukhovich, Boris S., Surowiec, Thomas M.

“…The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC) is essential for the…”
Get full text

Full Stability of General Parametric Variational Systems by Mordukhovich, B. S., Nghia, T. T. A., Pham, D. T.

“…The paper introduces and studies the notions of Lipschitzian and Hölderian full stability of solutions to three-parametric variational systems described in the…”
Get full text

Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials by Clason, Christian, Valkonen, Tuomo

“…We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using…”
Get full text

Sensitivity Analysis of Multiobjective Optimization Problems with Parameterized Quasi-Variational Inequalities by Pang, Li-Ping, Meng, Fan-Yun, Lv, Jian, Tian, Qi

“…This paper mainly establishes the sensitivity analysis of a multiobjective optimization problem with parameterized quasi-variational inequalities (QVIs). Using…”
Get full text

Subdifferential analysis of differential inclusions via discretization by Pang, C.H. Jeffrey

“…The framework of differential inclusions encompasses modern optimal control and the calculus of variations. Necessary optimality conditions in the literature…”
Get full text