Common fixed point theorems for a family of mappings in cone metric spaces

Abstract

Huang and Zhang obtained some fixed point theorems in cone metric spaces. Abbas and Rhoades generalized those theorems and obtained common fixed points for mappings with normal cone conditions satisfying certain contractive conditions. In this paper, we prove some theorems by removing the normal cone conditions and extend these theorems from a pair of single valued maps to a family of mappings in cone metric spaces.