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Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 8 (2013), 51 -- 57

COMMON FIXED POINT THEOREM FOR NONCOMPATIBLE MAPS
IN PROBABILISTIC METRIC SPACE

Suneel Kumar, Sunny Chauhan and B. D. Pant

Abstract. In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps.

2010 Mathematics Subject Classification: 54H25; 47H10.
Keywords: Probabilistic metric space; Noncompatible maps; Weakly compatible maps; Implicit relation; Property (E.A).

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Suneel Kumar Sunny Chauhan
Government Higher Secondary School, Department of Mathematics,
Sanyasiowala, PO - Jaspur (U.S.Nagar), R.H. Government Postgraduate College,
Uttarakhand, India 244712. Kashipur, Uttarakhand, India 244713.
e-mail1: ksuneel_math@rediffmail.com e-mail: sun.gkv@gmail.com
e-mail2: suneelkchauhan@yahoo.in
B. D. Pant
Government Degree College,
Champawat, Uttarakhand, India.
e-mail: badridatt.pant@gmail.com

http://www.utgjiu.ro/math/sma