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The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem
Motivated by our recent works on the efficient point multifunction in multi-objective parametric optimal control problems with nonconvex cost...
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Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization
This paper proposes and justifies two globally convergent Newton-type methods to solve unconstrained and constrained problems of nonsmooth...
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On the Positive Definiteness of Limiting Coderivative for Set-Valued Map**s
This paper concerns the interconnection between the positive definiteness of limiting coderivative and the local strong maximal monotonicity of...
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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization
In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for...
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On the Dini–Hadamard-like coderivative of the difference of two single-valued map**s
In this paper we obtain a difference rule for the Dini–Hadamard-like coderivative involving spongiously Lipschitz and strongly spongiously continuous...
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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...
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Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation
This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational...
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Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems
This paper studies generalized differentiation for a class of normal cone operators and sensitivity of solution to a class of parametric discrete...
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Implicit Function Theorems for Continuous Map**s and Their Applications
AbstractLocal and nonlocal implicit function theorems are obtained for closed map**s with a parameter from one Asplund space to another. These...
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Characterization of Convex and Generalized Convex Vector Fields on Riemannian Manifolds
In this paper, we define the concepts of C -convexity and generalized C -convexity of vector fields on Riemannian manifolds and we prove that a locally...
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Optimality Conditions in DC-Constrained Mathematical Programming Problems
This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex...
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Optimization of the Dirichlet problem for gradient differential inclusions
The paper is devoted to optimization of the gradient differential inclusions (DFIs) on a rectangular area. The discretization method is the main...
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Dirac cohomology on manifolds with boundary and spectral lower bounds
Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold...
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Radius theorems for subregularity in infinite dimensions
The paper continues our previous work (Dontchev et al. in Set-Valued Var Anal 28:451–473, 2020) on the radius of subregularity that was initiated by...
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Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions
The paper is devoted to Lagrange problem of optimal control theory with higher-order differential inclusions (HODI) and special boundary conditions....
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Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued map** to have the Lipschitz-like...
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Calmness of a Perturbed Cournot Oligopoly Game with Nonsmooth Cost Functions
This article deals with the calmness of a solution map for a Cournot Oligopoly Game with non-smooth cost functions. The fact that the cost functions...
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