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https://research.matf.bg.ac.rs/handle/123456789/393
Title: | On nonlinear quasi-contractions on TVS-cone metric spaces |
Authors: | Aranelović, Ivan D. Kečkić, Dragoljub |
Affiliations: | Mathematical Analysis |
Keywords: | Fixed point;Quasi-contraction;TVS-cone metric space |
Issue Date: | 1-Jul-2011 |
Journal: | Applied Mathematics Letters |
Abstract: | Recently, Du [W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. (2009), doi:10.1016/j.na.2009.10.026] introduced the notion of TVS-cone metric space. In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained by Ili and Rakoevi [D. Ili, V. Rakoevi, Quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 728731] and Kadelburg, Radenovi and Rakoevi [Z. Kadelburg, S. Radenovi, V. Rakoevi, Remarks on quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 16741679]. © 2011 Elsevier Ltd. All rights reserved. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/393 |
ISSN: | 08939659 |
DOI: | 10.1016/j.aml.2011.02.010 |
Appears in Collections: | Research outputs |
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