COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACES AND FUZZY METRIC SPACES

B. D. PANT(1), SUNNY CHAUHAN(2)

1. Government Degree College, Champawat, 262523, Uttarakhand, INDIA.
2. R. H. Government Postgraduate College, Kashipur, 244713, (U. S. Nagar), Uttara-khand, INDIA, e-mail: sun.gkv@gmail.com

Abstract

In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings satisfying a contraction-type condition in Menger spaces. As appli-cation to our result, we obtain the corresponding common fixed point theorem in fuzzy metric spaces.

Keywords

triangle function (t-norm) Menger space fuzzy metric space weak compatible mappings fixed point theorem