IJPAM: Volume 109, No. 3 (2016)

$\psi-\phi$ CONTRACTION ON SUZUKI TYPE UNIQUE
COMMON COUPLED FIXED POINT THEOREM IN
PARTIALLY ORDERED MULTIPLICATIVE METRIC SPACES

V.M.L. Hima Bindu$^1$, G.N.V. Kishore$^2$, K.P.R. Rao$^3$
$^{1,2}$Department of Mathematics
K.L. University
Vaddeswaram, Guntur, 522 502, Andhra Pradesh, INDIA
$^3$Department of Mathematics
Acharya Nagarjuna University
Nagarjuna Nagar, Guntur, 522 510, Andhra Pradesh, INDIA

Abstract. In this paper, we obtain a Suzuki type unique common coupled fixed point theorem by using $\psi-\phi$ contraction in partially ordered multiplicative metric spaces. We also give an example to illustrate our main theorem.

Received: May 10, 2016

Revised: July 22, 2016

Published: October 1, 2016

AMS Subject Classification: 54H25, 47H10, 54E50

Key Words and Phrases: multiplicative metric space, $w$-compatible maps, Suzuki type contraction
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DOI: 10.12732/ijpam.v109i3.8 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: 109
Issue: 3
Pages: 583 - 600


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