Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10234
Title: Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
Authors: Kadelburg Z.
Pavlovic, Mirjana
Radenovíc S.
Issue Date: 2010
Abstract: In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (2009) 319-325] and I. Altun, B. Damnjanović and D. Djorić [I. Altun, B. Damnjanović, D. Djorić, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. (2009) doi:10.1016/j.aml.2009.09.016] by weakening the respective contractive condition. Then, the notions of quasicontraction and g-quasicontraction are introduced in the setting of ordered cone metric spaces and respective (common) fixed point theorems are proved. In such a way, known results on quasicontractions and g-quasicontractions in metric spaces and cone metric spaces are extended to the setting of ordered cone metric spaces. Examples show that there are cases when new results can be applied, while old ones cannot. © 2010 Elsevier Ltd. All rights reserved.
URI: https://scidar.kg.ac.rs/handle/123456789/10234
Type: article
DOI: 10.1016/j.camwa.2010.02.039
ISSN: 0898-1221
SCOPUS: 2-s2.0-77950909784
Appears in Collections:Faculty of Science, Kragujevac

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