Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is
intended for graduate students pursuing PhDs in pure mathematics but junior and senior …

This manuscript determines the set of Pareto optimal solutions of certain multiobjective-
optimization problems involving continuous linear operators defined on Banach spaces and …

The set of supporting vectors of a continuous linear operator T: X → YT: X→ Y between
normed spaces, denoted by suppv (T) suppv (T) since 2017, is defined as suppv (T):={x ∈ X …

A supporting vector of a matrix A for a certain norm ‖ ⋅ ‖‖·‖ on R^ n R n is a vector x
such that ‖ x ‖= 1‖ x‖= 1 and ‖ Ax ‖= ‖ A ‖=\displaystyle\max _ ‖ y ‖= 1 ‖ Ay …

Minimum norm problems consist of finding the distance of a closed subset of a normed
space to the origin. Usually, the given closed subset is also asked to be convex, thus …

For G∈ R m× n and g∈ R m, the minimization min∥ G ψ− g∥ 2, with ψ∈ R n, is known as
the Tykhonov regularization. We transport the Tykhonov regularization to an infinite …

The design of optimal Magnetic Resonance Imaging (MRI) coils is modeled as a minimum-
norm problem (MNP), that is, as an optimization problem of the form min x∈ R∥ x∥, where …

The intersection of all zero-neighborhoods in a topological module over a topological ring is
a bounded and closed submodule whose inherited topology is the trivial topology. In this …

In this paper, we consider convex multiobjective optimization problems with equality and
inequality constraints in real Banach space. We establish saddle point necessary and …

In this paper, we consider convex multiobjective optimization problems with equality and
inequality constraints in real Banach space. We establish saddle point necessary and …