The paper is devoted to the development of a comprehensive calculus for directional limiting
normal cones, subdifferentials and coderivatives in finite dimensions. This calculus …

We present necessary conditions for monotonicity of fixed point iterations of map**s that
may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed …

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 …

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 …

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 …

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 …

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 …

This paper proposes an algorithm for solving structured optimization problems, which covers
both the backward–backward and the Douglas–Rachford algorithms as special cases, and …

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 …

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 …