Common Fixed Point Results for Generalized Contraction under the Rational Expressions in Complex Valued Metric spaces

Garima Gadkari¹ , M.S. Rathore² , Naval Singh³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.282-293, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.282293

Online published on Dec 31, 2018

Copyright © Garima Gadkari, M.S. Rathore, Naval Singh . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we prove the existence and uniqueness of common fixed point theorems satisfying contractive conditions involving rational expression for two pairs of weakly compatible self-mappings and further some results using (E.A) property and (CLR) property are obtained in complex valued metric spaces. An illustrative example is provided to support the results obtained. The presented results improve and generalize the main results of Öztűrk in (Öztűrk, 2014).

Key-Words / Index Term :
Complex valued metric space, weakly compatible mapping, (E.A) property, (CLR) property

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