Mathematical Journal of Interdisciplinary Sciences

Fixed Points of Almost Generalized ( a , y) - Contractions with Rational Expressions

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.

PUBLISHER The Author(s) 2016. This article is published with open access at

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 [1] and Harjani, Lopez and Sadarangani [2].

Page(s) 101–120
ISSN Print : 2278-9561, Online : 2278-957X
DOI 10.15415/mjis.2017.52008
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