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Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 8 (2013), 1 -- 10

A COMMON FIXED POINT THEOREM IN
MENGER SPACE USING IMPLICIT RELATION

B.D. Pant and Sunny Chauhan

Abstract. The main purpose of this paper is to prove a common fixed point theorem for two pairs of weakly compatible mappings in Menger space using implicit relation.

2010 Mathematics Subject Classification: 54H25; 47H10.
Keywords: Triangle function (t-norm), Menger space; Implicit relation; Common fixed point; Compatible maps; Weakly compatible maps.

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B.D. Pant Sunny Chauhan
Government Degree Collage, R.H. Government Postgraduate College,
Champawat, 262523, Uttarakhand, India. Kashipur, 244713, Uttarakhand, India.
E-mail: sun.gkv@gmail.com



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