Unified relational-theoretic approach in metric-like spaces with an application
DC Field | Value | Language |
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dc.contributor.author | Jain, R. | - |
dc.contributor.author | Nashine, H.K. | - |
dc.contributor.author | Lee, J.R. | - |
dc.contributor.author | Park, C. | - |
dc.date.accessioned | 2022-07-07T09:18:19Z | - |
dc.date.available | 2022-07-07T09:18:19Z | - |
dc.date.created | 2021-07-14 | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144067 | - |
dc.description.abstract | In this paper, we introduce a modified implicit relation and obtain some new fixed point results for σ-implicit type contractive conditions in relational metric-like spaces. We present some nontrivial examples to illustrative facts and compare our results with the related work. We also discuss sufficient conditions for the existence of a unique positive definite solution of the non-linear matrix equation U = D +∑m i=1 A∗iG(U)Ai, where D is an n × n Hermitian positive definite matrix, A1, A2, …, Am are n × n matrices, and G is a non-linear self-mapping of the set of all Hermitian matrices which is continuous in the trace norm. Finally, we discuss a couple of examples, convergence and error analysis, average CPU time analysis and visualization of solution in surface plot. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | American Institute of Mathematical Sciences | - |
dc.title | Unified relational-theoretic approach in metric-like spaces with an application | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, C. | - |
dc.identifier.doi | 10.3934/math.2021520 | - |
dc.identifier.scopusid | 2-s2.0-85107992613 | - |
dc.identifier.wosid | 000669536400016 | - |
dc.identifier.bibliographicCitation | AIMS Mathematics, v.6, no.8, pp.8959 - 8977 | - |
dc.relation.isPartOf | AIMS Mathematics | - |
dc.citation.title | AIMS Mathematics | - |
dc.citation.volume | 6 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 8959 | - |
dc.citation.endPage | 8977 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FIXED-POINT THEOREMS | - |
dc.subject.keywordPlus | CONTRACTIONS | - |
dc.subject.keywordPlus | MAPPINGS | - |
dc.subject.keywordAuthor | positive definite matrix | - |
dc.subject.keywordAuthor | nonlinear matrix equation | - |
dc.subject.keywordAuthor | metric-like space | - |
dc.subject.keywordAuthor | relational metric space | - |
dc.subject.keywordAuthor | fixed point | - |
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