English

Another look at the continuity of moduli of noncompact convexity

Functional Analysis 2021-11-25 v1

Abstract

In this article we introduce the new modulus X,ϕ(ε)\triangle'_{X,\phi}(\varepsilon), for which we prove that in the general case is different from the classical modulus of noncompact convexity. The main result of the paper is showing the continuity of the modulus of noncompact convexity for arbitrary minimalizable (strictly minimalizable) measure of noncompactness on arbitrary metric space.

Keywords

Cite

@article{arxiv.2111.12407,
  title  = {Another look at the continuity of moduli of noncompact convexity},
  author = {Amra Reki\' c-Vukovi\' c and Nermin Okičić},
  journal= {arXiv preprint arXiv:2111.12407},
  year   = {2021}
}