Generalized weak contractions in partially ordered metric spaces

Recent results of Đorić [D. Đorić, Common fixed point for generalized ( ψ , φ ) -weak contractions, Appl. Math. Lett. 22 (2009) 1896–1900] on generalized weakly contractive mappings are extended to the setting of partially ordered metric spaces. Thus, generalization of fixed point results of Harjani...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2010-09, Vol.60 (6), p.1776-1783
Main Authors: Radenović, Stojan, Kadelburg, Zoran
Format: Article
Language:English
Subjects:
Common fixed point
Mapping
Mathematical models
Metric space
Nonlinearity
Partially ordered metric space
Theorems
Weak contraction
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Summary:Recent results of Đorić [D. Đorić, Common fixed point for generalized ( ψ , φ ) -weak contractions, Appl. Math. Lett. 22 (2009) 1896–1900] on generalized weakly contractive mappings are extended to the setting of partially ordered metric spaces. Thus, generalization of fixed point results of Harjani and Sadarangani [J. Harjani, K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal. 71 (2009) 3403–3410] is obtained. Some applications are presented. Examples are given to show that our results are proper generalizations of the existing ones.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.07.008