Cone b-Metric Spaces and Extension of Fixed Point Theorems of Generalized Contraction Mappings with rational expression

S. K. Tiwari¹ , R. Kurre²

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.1 , pp.15-20, Feb-2020

Online published on Feb 28, 2020

Copyright © S. K. Tiwari, R. Kurre . 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 establish and extend some unique fixed point theorems for generalized contraction involving rational expressions in cone b- metric space. Our presented theorems are extended and improve of existing literature for mappings satisfying certain rational inequality.

Key-Words / Index Term :
Fixed Point, Contraction mappings, Complete cone metric space, Complete cone b-metric space, Rational inequality

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