IJPAM: Volume 103, No. 1 (2015)

COMMON TRIPLED FIXED POINT THEOREMS
UNDER WEAKER CONDITIONS

Bhavana Deshpande$^1$, Chetna Kothari$^2$, Amrish Handa$^3$
$^{1,3}$Department of Mathematics
Govt. P.G. Arts & Science College
Ratlam (M.P.), INDIA
$^2$Department of Mathematics
Govt. P.G. College
Jaora (M.P.), INDIA


Abstract. We introduce the concept of (EA) property and occasionally $w-$compatibility for hybrid pair $F:X\times X\times X\rightarrow 2^{X}$ and $f:X\rightarrow X$ and establish two common tripled fixed point theorems for hybrid pair of mappings under some newly defined weaker conditions on a noncomplete metric space, which is not partially ordered. It is to be noted that to find tripled coincidence point, we do not employ the condition of continuity of any mapping involved therein. We also give an example to validate our result. We improve and generalize several known results.

Received: October 17, 2014

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: metric space, tripled fixed point, tripled coincidence point, new contractive condition, $w-$compatibility, $F-$weakly commuting mappings

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DOI: 10.12732/ijpam.v103i1.1 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: 2015
Volume: 103
Issue: 1
Pages: 1 - 17


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