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Compatible and weakly compatible mappings in cone metric spaces
dc.creator | Janković, Slobodanka | |
dc.creator | Golubović, Zorana | |
dc.creator | Radenović, Stojan | |
dc.date.accessioned | 2023-11-20T12:41:38Z | |
dc.date.available | 2023-11-20T12:41:38Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 0895-7177 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/7141 | |
dc.description.abstract | In this paper we extend and generalize common fixed point theorems for six self-maps of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439–448] from Menger and metric spaces to cone metric spaces. We also extend the notions of compatible and weakly compatible mappings from the setting of Menger and metric spaces to the setting of cone metric spaces. We do not impose the normality property on the cone, but suppose only that the cone P, in the ordered Banach space E, has a nonempty interior. Examples are given to illustrate the results. | sr |
dc.language.iso | en | sr |
dc.rights | restrictedAccess | sr |
dc.source | Mathematical and Computer Modelling | sr |
dc.subject | Cone metric space | sr |
dc.subject | Normal and non-normal cones | sr |
dc.subject | Common fixed point | sr |
dc.subject | Compatible maps | sr |
dc.subject | Weakly compatible | sr |
dc.title | Compatible and weakly compatible mappings in cone metric spaces | sr |
dc.type | article | sr |
dc.rights.license | ARR | sr |
dc.citation.epage | 1738 | |
dc.citation.issue | 9-10 | |
dc.citation.spage | 1728 | |
dc.citation.volume | 52 | |
dc.identifier.doi | 10.1016/j.mcm.2010.06.043 | |
dc.type.version | publishedVersion | sr |