Common fixed point results for family of mappings under T-weak reciprocal continuity

Abstract

In this paper we introduce the idea of T-weak reciprocal continuity which is a more general concept than reciprocal continuity. With the help of this concept and the concept of semi-compatibility, we deduce a common fixed point theorem for a converging family of mappings. An existing result of Som (Bull Cal Math Soc 95(4):307-312, 2003) is generalized in some sense. Two illustrative examples are given in support of our result. © 2012 Università degli Studi di Ferrara.