IJPAM: Volume 106, No. 3 (2016)

COMMON COUPLED FIXED POINT THEOREMS OF
TWO MAPPINGS SATISFYING GENERALIZED
CONTRACTIVE CONDITION IN CONE METRIC SPACE

H.K. Nashie$^1$, Yumanm Rohen$^2$, Chhatrajit Thokchom$^3$
$^1$Disha Institute of Management and Technology
Raipur, INDIA
$^{2,3}$Department of Basic Sciences and Humanities
NIT Manipur, Imphal,795001, INDIA


Abstract. In this paper, we prove the existence and uniqueness of a common coupled fixed point theorem in complete cone metric space for a pair of mappings satisfying a generalised contractive condition. Some results are also given in the form of corollaries. The results are also verified with the help of example.

Received: September 16, 2015

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: cone metric space, mixed monotone property, coupled fixed point, fixed point theorems

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DOI: 10.12732/ijpam.v106i3.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 3
Pages: 791 - 799


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