Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 6 (2011), 1 - 7

COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACE

B.D. Pant and Sunny Chauhan

Abstract. The concept of occasionally weakly compatible (shortly, owc) mappings introduced by Al-Thagafi and Shahzad [2], which is more general than the concept of weakly compatible maps. In this paper, we prove a common fixed point theorem for owc mappings in Menger space using arbitrary continuous t-norm for a nonlinear case.

2010 Mathematics Subject Classification: 54H25; 47H10.
Keywords: Triangle function (t-norm); Menger space; Weakly compatible maps; Occasionally weakly compatible maps.

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

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