Calculus for directional limiting normal cones and subdifferentials
M Benko, H Gfrerer, JV Outrata - Set-Valued and Variational Analysis, 2019 - Springer
The paper is devoted to the development of a comprehensive calculus for directional limiting
normal cones, subdifferentials and coderivatives in finite dimensions. This calculus …
normal cones, subdifferentials and coderivatives in finite dimensions. This calculus …
Necessary conditions for linear convergence of iterated expansive, set-valued mappings
We present necessary conditions for monotonicity of fixed point iterations of mappings that
may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed …
may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed …
About intrinsic transversality of pairs of sets
AY Kruger - Set-Valued and Variational Analysis, 2018 - Springer
The article continues the study of the 'regular'arrangement of a collection of sets near a point
in their intersection. Such regular intersection or, in other words, transversality properties are …
in their intersection. Such regular intersection or, in other words, transversality properties are …
Extremality, stationarity and generalized separation of collections of sets
The core arguments used in various proofs of the extremal principle and its extensions as
well as in primal and dual characterizations of approximate stationarity and transversality of …
well as in primal and dual characterizations of approximate stationarity and transversality of …
Linear convergence of projection algorithms
Projection algorithms are well known for their simplicity and flexibility in solving feasibility
problems. They are particularly important in practice owing to minimal requirements for …
problems. They are particularly important in practice owing to minimal requirements for …
Transversality properties: primal sufficient conditions
The paper studies 'good arrangements'(transversality properties) of collections of sets in a
normed vector space near a given point in their intersection. We target primal (metric and …
normed vector space near a given point in their intersection. We target primal (metric and …
The radius of metric subregularity
AL Dontchev, H Gfrerer, AY Kruger… - Set-Valued and Variational …, 2020 - Springer
There is a basic paradigm, called here the radius of well-posedness, which quantifies the
“distance” from a given well-posed problem to the set of ill-posed problems of the same kind …
“distance” from a given well-posed problem to the set of ill-posed problems of the same kind …
[PDF][PDF] Nonlinear transversality of collections of sets: Dual space necessary characterizations
This paper continues the study of 'good arrangements' of collections of sets in normed vector
spaces near a point in their intersection. Our aim is to study general nonlinear transversality …
spaces near a point in their intersection. Our aim is to study general nonlinear transversality …
[PDF][PDF] Nonlinear transversality of collections of sets: Primal space characterizations
ND Cuong, AY Kruger - Preprint, 2019 - academia.edu
This paper continues the study of 'good arrangements' of collections of sets in normed vector
spaces near a given point in their intersection. Our aim is to establish quantitative primal …
spaces near a given point in their intersection. Our aim is to establish quantitative primal …
Dual sufficient characterizations of transversality properties
This paper continues the study of 'good arrangements' of collections of sets near a point in
their intersection. Our aim is to develop a general scheme for quantitative analysis of several …
their intersection. Our aim is to develop a general scheme for quantitative analysis of several …