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Abstract metric spaces and Hardy-Rogers-type theorems
dc.creator | Radojević, Slobodan | |
dc.creator | Paunović, Ljiljana | |
dc.creator | Radenović, Stojan | |
dc.date.accessioned | 2022-09-19T16:38:26Z | |
dc.date.available | 2022-09-19T16:38:26Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 0893-9659 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/1218 | |
dc.description.abstract | The purpose of the present paper is to establish coincidence point theorem for two mappings and fixed point theorem for one mapping in abstract metric space which satisfy contractive conditions of Hardy-Rogers type. Our results generalize fixed point theorems of Nemytzki [V.V. Nemytzki, Fixed point method in analysis, Uspekhi Mat. Nauk 1 (1936) 141-174], Edelstein I M. Edelstein, On fixed and periodic point under contractive mappings, J. Lond. Math. Soc. 37 (1962) 74-79] and Huang, Zhang [LG. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2)(2007) 1468-1476] from abstract metric spaces to symmetric spaces (Theorem 2.1) and to metric spaces (Theorem 2.4, Corollaries 2.6-2.8). Two examples are given to illustrate the usability of our results. | en |
dc.publisher | Pergamon-Elsevier Science Ltd, Oxford | |
dc.rights | openAccess | |
dc.source | Applied Mathematics Letters | |
dc.subject | Symmetric space | en |
dc.subject | Normal and nonnormal cone | en |
dc.subject | Cone metric space | en |
dc.subject | Common fixed point | en |
dc.subject | Coincidence point | en |
dc.title | Abstract metric spaces and Hardy-Rogers-type theorems | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 558 | |
dc.citation.issue | 4 | |
dc.citation.other | 24(4): 553-558 | |
dc.citation.rank | M21 | |
dc.citation.spage | 553 | |
dc.citation.volume | 24 | |
dc.identifier.doi | 10.1016/j.aml.2010.11.012 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/181/1215.pdf | |
dc.identifier.scopus | 2-s2.0-78650512825 | |
dc.identifier.wos | 000286539200028 | |
dc.type.version | publishedVersion |