2 citations · 5 across the 28 of their papers we have counts for
28 papers
First-order approximations of multifunctions defined implicitly by "split" feasibility problems with applications to optimization
Amos Uderzo
In the present paper, a study is made of first-order differential properties of certain multifunctions, which are defined as a solution map associated with a family of parameterize…
On Lipschitzian properties of multifunctions defined implicitly by "split" feasibility problems
Amos Uderzo
In the present paper, a systematic study is made of quantitative semicontinuity (a.k.a. Lipschitzian) properties of certain multifunctions, which are defined as a solution map asso…
On a robust approach to "split" feasibility problems: solvability and global error bound conditions
Amos Uderzo
In the present paper, a robust approach to a special class of convex feasibility problems is considered. By techniques of convex and variational analysis, conditions for the existe…
Marginal Analysis of Convex Optimization Problems with Set-Valued Inclusion Constraints
Amos Uderzo
In this paper, stability and sensitivity properties of a class of parametric constrained optimization problem, whose feasible region is defined by a set-valued inclusion, are inves…
On some global implicit function theorems for set-valued inclusions with applications to parametric vector optimization
Amos Uderzo
The present paper deals with the perturbation analysis of set-valued inclusion problems, a problem format whose relevance has recently emerged in such contexts as robust and vector…
On some generalizations of Hadamard's inversion theorem beyond differentiability
Amos Uderzo
A recognized trend of research investigates generalizations of the Hadamard's inversion theorem to functions that may fail to be differentiable. In this vein, the present paper exp…
First-order approximation of strong vector equilibria with application to nondifferentiable constrained optimization
Amos Uderzo
Vector equilibrium problems are a natural generalization to the context of partially ordered spaces of the Ky Fan inequality, where scalar bifunctions are replaced with vector bifu…
On some optimality conditions for a class of problems in mathematical programming with equilibrium constraints
Amos Uderzo
This paper considers mathematical programs, whose constraints are expressed by a parameterized vector equilibrium problem. The latter is a well recognized framework, which is able…
Some enhanced existence results for strong vector equilibrium problems
Amos Uderzo
This paper explores some sufficient conditions for the enhanced solvability of strong vector equilibrium problems, which can be established via a variational approach. Enhanced sol…
A condition for the stability of ideal efficient solutions in parametric vector optimization via set-valued inclusions
Amos Uderzo
In present paper, an analysis of the stability behaviour of ideal efficient solutions to parametric vector optimization problems is conducted. A sufficient condition for the existe…
On some efficiency conditions for vector optimization problems with uncertain cone constraints: a robust approach
Amos Uderzo
In the present paper, several types of efficiency conditions are established for vector optimization problems with cone constraints affected by uncertainty, but with no information…
On Differential Properties of Multifunctions Defined Implicitly by Set-Valued Inclusions
Amos Uderzo
In the present paper, several properties concerning generalized derivatives of multifunctions implicitly defined by set-valued inclusions are studied by techniques of variational a…
On the quantitative solution stability of parameterized set-valued inclusions
Amos Uderzo
The subject of the present paper are stability properties of the solution set to set-valued inclusions. The latter are problems emerging in robust optimization and mathematical eco…
Solution analysis for a class of set-inclusive generalized equations: a convex analysis approach
A. Uderzo
In the present paper, classical tools of convex analysis are used to study the solution set to a certain class of set-inclusive generalized equations. A condition for the solution…
On finite-dimensional set-inclusive constraint systems: local analysis and related optimality conditions
Amos Uderzo
In the present paper, some aspects of the finite-dimensional theory of set-inclusive generalized equations are studied. Set-inclusive generalized equations are problems arising in…
On some generalized equations with metrically C-increasing mappings: solvability and error bounds with applications to optimization
A Uderzo
Generalized equations are problems emerging in contexts of modern variational analysis as an adequate formalism to treat such issues as constraint systems, optimality and equilibri…
Existence and continuity of solution trajectories of generalized equations with application in electronics
Iman Mehrabinezhad, Rita Pini, Amos Uderzo
We consider a special form of parametric generalized equations arising from electronic circuits with AC sources and study the effect of perturbing the input signal on solution traj…
An extension of the Polyak convexity principle with application to nonconvex optimization
Amos Uderzo
The main problem considered in the present paper is to single out classes of convex sets, whose convexity property is preserved under nonlinear smooth transformations. Extending an…
An implicit multifunction theorem for the hemiregularity of mappings with application to constrained optimization
Amos Uderzo
The present paper contains some investigations about a uniform variant of the notion of metric hemiregularity, the latter being a less explored property obtained by weakening metri…
On a strong covering property of multivalued mappings
A. Uderzo
In this paper, a strong variant for multivalued mappings of the well-known property of openness at a linear rate is studied. Among other examples, a simply characterized class of c…
A strong metric subregularity analysis of nonsmooth mappings via steepest displacement rate
Amos Uderzo
In this paper, a systematic study of the strong metric subregularity property of mappings is carried out by means of a variational tool, called steepest displacement rate. With the…
Convexity of the images of small balls through perturbed convex multifunctions
Amos Uderzo
In the present paper, the following convexity principle is proved: any closed convex multifunction, which is metrically regular in a certain uniform sense near a given point, carri…
On the variational behaviour of functions with positive steepest descent rate
Amos Uderzo
This paper investigates some aspects of the variational behaviour of nonsmooth functions, with special emphasis on certain stability phenomena. Relationships linking such propertie…
On a class of convex sets with convex images and its application to nonconvex optimization
Amos Uderzo
In the present paper, conditions under which the images of uniformly convex sets through regular mappings between Banach spaces remain convex are established. These condi…