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https://research.matf.bg.ac.rs/handle/123456789/1132
Title: | A note on the equivalence of some metric and cone metric fixed point results | Authors: | Kadelburg, Zoran Radenović, Stojan Rakočević, Vladimir |
Keywords: | Cone metric space;Fixed point | Issue Date: | 1-Mar-2011 | Journal: | Applied Mathematics Letters | Abstract: | In the present work, using Minkowski functionals in topological vector spaces, we establish the equivalence between some fixed point results in metric and in (topological vector space) cone metric spaces. Thus, a lot of results in the cone metric setting can be directly obtained from their metric counterparts. In particular, a common fixed point theorem for f-quasicontractions is obtained. Our approach is even easier than that of Du [Wei-Shih Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. 72 (2010) 22592261] where similar conclusions were obtained using scalarization functions. © 2010 Elsevier Ltd. All rights reserved. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1132 | ISSN: | 08939659 | DOI: | 10.1016/j.aml.2010.10.030 |
Appears in Collections: | Research outputs |
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