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Motivated by this, we introduce the notions of reiterative distributional chaos of types [Formula: see text], [Formula: see text] and [Formula: see text] for continuous linear operators on Banach spaces, which are characterized in terms of the existence of an irregular vector with additional properties. Moreover, we study its relations with other dynamical properties and present the conditions for the existence of a vector subspace [Formula: see text] of [Formula: see text], such that every nonzero vector in [Formula: see text] is both irregular for [Formula: see text] and distributionally near zero for [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218127419502018","type":"journal-article","created":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T04:36:48Z","timestamp":1577335008000},"page":"1950201","source":"Crossref","is-referenced-by-count":3,"title":["Reiterative Distributional Chaos on Banach Spaces"],"prefix":"10.1142","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7523-0690","authenticated-orcid":false,"given":"Antonio","family":"Bonilla","sequence":"first","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de la Laguna, 38271, La Laguna (Tenerife), Spain"}]},{"given":"Marko","family":"Kosti\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Technical Sciences, University of Novi Sad, Trg D. 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