Lipschitz continuity of solution multifunctions of extended regularization problems
In this paper we obtain a verifiable sufficient condition for a polyhedral multifunction to be
Lipschitz continuous on its domain. We apply this sufficient condition to establish the …
Lipschitz continuous on its domain. We apply this sufficient condition to establish the …
On new generalized differentials with respect to a set and their applications
X Qin, V Duc Thinh, JC Yao - Set-Valued and Variational Analysis, 2024 - Springer
The notions and certain fundamental characteristics of the proximal and limiting normal
cones with respect to a set are first presented in this paper. We present the ideas of the …
cones with respect to a set are first presented in this paper. We present the ideas of the …
Relative Lipschitz-like property of parametric systems via projectional coderivatives
This paper concerns upper estimates of the projectional coderivative of implicit mappings
and corresponding applications on analyzing the relative Lipschitz-like property. Under …
and corresponding applications on analyzing the relative Lipschitz-like property. Under …
Relative well-posedness of constrained systems with applications to variational inequalities
BS Mordukhovich, P Wu, X Yang - arXiv preprint arXiv:2212.02727, 2022 - arxiv.org
The paper concerns foundations of sensitivity and stability analysis, being primarily
addressed constrained systems. We consider general models, which are described by …
addressed constrained systems. We consider general models, which are described by …
MultiSQP-GS: a sequential quadratic programming algorithm via gradient sampling for nonsmooth constrained multiobjective optimization
M Rashidi, M Soleimani-damaneh - Computational Optimization and …, 2024 - Springer
In this paper, we propose a method for solving constrained nonsmooth multiobjective
optimization problems which is based on a Sequential Quadratic Programming (SQP) type …
optimization problems which is based on a Sequential Quadratic Programming (SQP) type …
Projectional coderivatives and calculus rules
This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and
the corresponding calculus rules in finite dimensional spaces. We show that when the …
the corresponding calculus rules in finite dimensional spaces. We show that when the …
Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces
BS Mordukhovich, P Wu, X Yang - Optimization, 2024 - Taylor & Francis
This paper addresses the study of novel constructions of variational analysis and
generalized differentiation that are appropriate for characterizing robust stability properties …
generalized differentiation that are appropriate for characterizing robust stability properties …
Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications
This paper provides formulas for calculating Fréchet and limiting normal cones with respect
to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …
to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …
On the existence and Lipschitz-like property of the solution map to parametric equilibrium problems governed by trifunction with applications
T Chen, X Yang - Optimization, 2024 - Taylor & Francis
In this paper, we study a class of parametric equilibrium problems governed by a trifunction.
We apply the Fan-KKM theorem under new type of monotonicity and coercivity conditions for …
We apply the Fan-KKM theorem under new type of monotonicity and coercivity conditions for …
Variational Analysis of Kurdyka-Lojasiewicz Property by Way of Outer Limiting Subgradients
In this paper, for a function $ f $ locally lower semicontinuous at a stationary point $\bar {x} $,
we obtain complete characterizations of the Kurdyka-{\L} ojasiewicz (for short, K {\L}) …
we obtain complete characterizations of the Kurdyka-{\L} ojasiewicz (for short, K {\L}) …