English

Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

Functional Analysis 2017-10-12 v1

Abstract

In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable.

Keywords

Cite

@article{arxiv.1710.04124,
  title  = {Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces},
  author = {L. Di Piazza and V. Marraffa},
  journal= {arXiv preprint arXiv:1710.04124},
  year   = {2017}
}