English

Gauge integrals and selections of weakly compact valued multifunctions

Functional Analysis 2020-02-18 v3

Abstract

In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets of a general Banach space X. In particular the existence of selections integrable in the same sense of the corresponding multifunctions has been considered.

Keywords

Cite

@article{arxiv.1602.00473,
  title  = {Gauge integrals and selections of weakly compact valued multifunctions},
  author = {D. Candeloro and L. Di Piazza and K. Musial and A. R. Sambucini},
  journal= {arXiv preprint arXiv:1602.00473},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-22T12:40:47.329Z