A Note on Fixed Point Theorems in Menger Space

Abstract

In the present paper we employ the notion of reciprocal continuity to obtain a common fixed point theorem in Menger space in
which the fixed point may be a point of discontinuity. We also investigate the relationship between continuity of mappings and reciprocal continuity in the setting of Menger spaces. Our result improves the recent result of Singh and Jain1 in Menger spaces and extends many known results in metric spaces.