On nonlinear quasi-contractions on TVS-cone metric spaces
Апстракт
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 Ilic and Rakocevic [D. Ilic, V. Rakocevic, Quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 728-731] and Kadelburg, Radenovic and Rakocevic [Z. Kadelburg, S. Radenovic, V. Rakocevic, Remarks on quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 1674-1679].
Кључне речи:
TVS-cone metric space / Quasi-contraction / Fixed pointИзвор:
Applied Mathematics Letters, 2011, 24, 7, 1209-1213Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
DOI: 10.1016/j.aml.2011.02.010
ISSN: 0893-9659
WoS: 000289743300032
Scopus: 2-s2.0-79953210015
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Aranđelović, Ivan AU - Keckić, Dragoljub J. PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1225 AB - 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 Ilic and Rakocevic [D. Ilic, V. Rakocevic, Quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 728-731] and Kadelburg, Radenovic and Rakocevic [Z. Kadelburg, S. Radenovic, V. Rakocevic, Remarks on quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 1674-1679]. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Applied Mathematics Letters T1 - On nonlinear quasi-contractions on TVS-cone metric spaces EP - 1213 IS - 7 SP - 1209 VL - 24 DO - 10.1016/j.aml.2011.02.010 ER -
@article{ author = "Aranđelović, Ivan and Keckić, Dragoljub J.", year = "2011", 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 Ilic and Rakocevic [D. Ilic, V. Rakocevic, Quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 728-731] and Kadelburg, Radenovic and Rakocevic [Z. Kadelburg, S. Radenovic, V. Rakocevic, Remarks on quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 1674-1679].", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Applied Mathematics Letters", title = "On nonlinear quasi-contractions on TVS-cone metric spaces", pages = "1213-1209", number = "7", volume = "24", doi = "10.1016/j.aml.2011.02.010" }
Aranđelović, I.,& Keckić, D. J.. (2011). On nonlinear quasi-contractions on TVS-cone metric spaces. in Applied Mathematics Letters Pergamon-Elsevier Science Ltd, Oxford., 24(7), 1209-1213. https://doi.org/10.1016/j.aml.2011.02.010
Aranđelović I, Keckić DJ. On nonlinear quasi-contractions on TVS-cone metric spaces. in Applied Mathematics Letters. 2011;24(7):1209-1213. doi:10.1016/j.aml.2011.02.010 .
Aranđelović, Ivan, Keckić, Dragoljub J., "On nonlinear quasi-contractions on TVS-cone metric spaces" in Applied Mathematics Letters, 24, no. 7 (2011):1209-1213, https://doi.org/10.1016/j.aml.2011.02.010 . .