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Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph
dc.creator | Savić, Ana | |
dc.creator | Fabiano, Nicola | |
dc.creator | Mirkov, Nikola | |
dc.creator | Sretenović, Aleksandra | |
dc.creator | Radenović, Stojan | |
dc.date.accessioned | 2022-09-19T19:19:07Z | |
dc.date.available | 2022-09-19T19:19:07Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 2473-6988 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3581 | |
dc.description.abstract | Using the approach of so-called c-sequences introduced by the fifth author in his recent work, we give much simpler and shorter proofs of multivalued Perov's type results with respect to the ones presented in the recently published paper by M. Abbas et al. Our proofs improve, complement, unify and enrich the ones from the recent papers. Further, in the last section of this paper, we correct and generalize the well-known Perov's fixed point result. We show that this result is in fact equivalent to Banach's contraction principle. | en |
dc.publisher | Amer Inst Mathematical Sciences-Aims, Springfield | |
dc.relation | Ministry of Education, Science and Technological Development of the Republic of Serbia | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | AIMS Mathematics | |
dc.subject | Perov's type results | en |
dc.subject | multivalued mapping | en |
dc.subject | graphic contraction | en |
dc.subject | directed graph | en |
dc.subject | c-sequence | en |
dc.subject | cone metric space | en |
dc.subject | common fixed point | en |
dc.title | Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.epage | 198 | |
dc.citation.issue | 1 | |
dc.citation.other | 7(1): 187-198 | |
dc.citation.rank | aM21 | |
dc.citation.spage | 187 | |
dc.citation.volume | 7 | |
dc.identifier.doi | 10.3934/math.2022011 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/2160/3578.pdf | |
dc.identifier.scopus | 2-s2.0-85116724807 | |
dc.identifier.wos | 000718878200005 | |
dc.type.version | publishedVersion |