IJPAM: Volume 85, No. 4 (2013)

COMMON FIXED POINT FOR THREE NONSELF-MAPS
THROUGH AN IMPLICIT RELATION

T. Phaneendra1, D. Surekha2, K. Kumara Swamy3
1Applied Analysis Division
School of Advanced Sciences
VIT University
Vellore, 632014, Tamil Nadu, INDIA
2Department of Mathematics
Hyderabad Institute of Technology & Management
RR District, Hyderabad (A.P.), INDIA
3Department of Mathematics
Malla Reddy Engg. College for Women
Secunderabad, 500014 (A.P.), INDIA


Abstract. A common fixed point is obtained for three weakly compatible nonself-maps defined on a nonempty subset of a metric space through an implicit relation and the notion of property E.A. The result of the paper is a generalization of those of Sing and Kumar, and of Akkouchi and Popa, and is an extended generalization of Khan and Dolmo's result for a pair of maps.

Received: March 15, 2013

AMS Subject Classification: 54H25

Key Words and Phrases: property E.A. weakly compatible maps, implicit relation, common fixed point

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DOI: 10.12732/ijpam.v85i4.13 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: 2013
Volume: 85
Issue: 4