A note on common fixed point theorems for isotone increasing mappings in ordered b-metric spaces

Volume 8, Issue 5, pp 808--815 http://dx.doi.org/10.22436/jnsa.008.05.31

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Authors

Huaping Huang - School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China. Jelena Vujaković - Faculty of Sciences and Mathematics, Lole Ribara 29, 38 000, Kosovska Mitrovica, Serbia. Stojan Radenović - Faculty of Mathematics and Information Technology, Dong Thap University, Dong Thap, Viêt Nam.

Abstract

In this article we prove the existence of common fixed points for isotone increasing mappings in ordered b-metric spaces. Our results unite and improve the recent remarkable results, established by Roshan et al. [J. R. Roshan, V. Parvaneh, Z. Kadelburg, J. Nonlinear Sci. Appl. 7 (2014), 229–245], with much more general conditions and shorter proofs. An example is given to show the superiority of our genuine generalization.

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Keywords

• Common fixed point
• b-metric space
• g-weakly isotone increasing
• well ordered.

MSC

•  47H10
•  54H25

References

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