Journal of Applied Mathematics

Periodic Points and Fixed Points for the Weaker ( ϕ , φ ) -Contractive Mappings in Complete Generalized Metric Spaces

Chi-Ming Chen and W. Y. Sun

Full-text: Open access

Abstract

We introduce the notion of weaker ( ϕ , φ ) -contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 856974, 7 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495050

Digital Object Identifier
doi:10.1155/2012/856974

Mathematical Reviews number (MathSciNet)
MR2880863

Zentralblatt MATH identifier
1235.54028

Citation

Chen, Chi-Ming; Sun, W. Y. Periodic Points and Fixed Points for the Weaker $(\varphi ,\phi )$ -Contractive Mappings in Complete Generalized Metric Spaces. J. Appl. Math. 2012 (2012), Article ID 856974, 7 pages. doi:10.1155/2012/856974. https://projecteuclid.org/euclid.jam/1355495050


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