IJPAM: Volume 108, No. 1 (2016)

COUPLED FIXED POINT THEOREMS IN
PARTIALLY ORDERED MULTIPLICATIVE
METRIC SPACE AND ITS APPLICATIONS

Laishram Shanjit$^1$, Yumnam Rohen$^2$
Thokchom Chhatrajit Singh$^3$, P.P. Murthy$^4$
$^{1,2,3}$Department of Basic Sciences and Humanities
Natonal Institute of Technology Manipur
Langol, 795004, INDIA
$^4$Department of Pure and Applied Mathematics
Guru Ghasidas Vishwavidyalaya (A Central University)
Koni, Bilaspur (Chhattisgarh), 495009, INDIA


Abstract. In this paper, we introduce the concept of coupled fixed point in partially ordered multiplicative metric space by proving some theorems for the existence and uniqueness of coupled fixed point. Also, we discuss the application to the existence and uniqueness of solution for a periodic boundary value problem.

Received: November 5, 2015

AMS Subject Classification: 46B20, 47A12

Key Words and Phrases: multiplicative metric space, coupled fixed point, partially ordered set

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DOI: 10.12732/ijpam.v108i1.7 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: 108
Issue: 1
Pages: 49 - 62


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