On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces


Authors

Stojan Huang - School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China. Ljiljana Paunović - Teacher Education School in Prizren-Leposavić, Nemanjina b.b, 38218, Leposavic, Serbia. Huaping Radenović - Faculty of Mathematics and Information Technology, Dong Thap University, Dong Thap, Viêt Nam.


Abstract

In this paper we prove some new fixed point results in the context of ordered b-metric spaces for rational Geraghty contractive mappings. Thus our results in the new context generalize, extend, unify, enrich and complement fixed point theorems of contractive mappings in several aspects. One example is given to show the validity of our results. In addition, we obtain the periodic property of these mappings.


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ISRP Style

Stojan Huang, Ljiljana Paunović, Huaping Radenović, On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 800--807

AMA Style

Huang Stojan, Paunović Ljiljana, Radenović Huaping, On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(5):800--807

Chicago/Turabian Style

Huang, Stojan, Paunović, Ljiljana, Radenović, Huaping. "On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 800--807


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