GVR Babu, KKM Sarma and VA Kumari
α-admissible; ( a, y) -contraction mapping; generalized ( a, y) - contraction mapping; almost Jaggi contraction; almost generalized ( a, y) - contraction map with rational expression.
|PUBLISHED DATE||March 2017|
|PUBLISHER||The Author(s) 2016. This article is published with open access at www.chitkara.edu.in/publications|
In this paper, we introduce almost generalized ( a, y) -contractions with rational expression type mappings and establish the existence of fixed points for such mappings in complete partially ordered metric spaces. Further, we define `Condition (H)’ and prove the existence of unique fixed point under the additional assumption `Condition (H)’. Our results generalize the results of Arshad, Karapinar and Ahmad  and Harjani, Lopez and Sadarangani .
|ISSN||Print : 2278-9561, Online : 2278-957X|