On Some Properties of a Class of Eventually Locally Mixed Cyclic/Acyclic Multivalued Self-Mappings with Application Examples
dc.contributor.author | De la Sen Parte, Manuel | |
dc.contributor.author | Ibeas Hernández, Asier | |
dc.date.accessioned | 2022-08-05T06:43:29Z | |
dc.date.available | 2022-08-05T06:43:29Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Mathematics 10(14) : (2022) // Article ID 2415 | es_ES |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10810/57208 | |
dc.description.abstract | In this paper, a multivalued self-mapping is defined on the union of a finite number of subsets p(≥2) of a metric space which is, in general, of a mixed cyclic and acyclic nature in the sense that it can perform some iterations within each of the subsets before executing a switching action to its right adjacent one when generating orbits. The self-mapping can have combinations of locally contractive, non-contractive/non-expansive and locally expansive properties for some of the switching between different pairs of adjacent subsets. The properties of the asymptotic boundedness of the distances associated with the elements of the orbits are achieved under certain conditions of the global dominance of the contractivity of groups of consecutive iterations of the self-mapping, with each of those groups being of non-necessarily fixed size. If the metric space is a uniformly convex Banach one and the subsets are closed and convex, then some particular results on the convergence of the sequences of iterates to the best proximity points of the adjacent subsets are obtained in the absence of eventual local expansivity for switches between all the pairs of adjacent subsets. An application of the stabilization of a discrete dynamic system subject to impulsive effects in its dynamics due to finite discontinuity jumps in its state is also discussed. | es_ES |
dc.description.sponsorship | Basque Government, Grant IT1555-22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | cyclic self-mappings | es_ES |
dc.subject | cyclic contractions | es_ES |
dc.subject | mixed cyclic/acyclic self-mappings | es_ES |
dc.subject | uniformly convex Banach space | es_ES |
dc.subject | impulsive dynamic systems | es_ES |
dc.subject | stabilization | es_ES |
dc.title | On Some Properties of a Class of Eventually Locally Mixed Cyclic/Acyclic Multivalued Self-Mappings with Application Examples | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-07-25T16:33:42Z | |
dc.rights.holder | © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2227-7390/10/14/2415 | es_ES |
dc.identifier.doi | 10.3390/math10142415 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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