A FIXED POINT THEOREM IN RECTANGULAR CONE METRIC SPACES

Abstract

In 2000, Branciari replaced the triangle inequality by a more general one which today is known as the rectangular inequality and introduced the notion of generalized metric space or rectangular metric space. In 2009, Azam, Arshad and Beg (Azam, A., Arshad, M., Beg, I., 2009) introduced the concept of rectangular cone metric space and proved fixed point results for normal cone. In this paper, we establish a fixed point theorem for contraction mapping in rectangular cone metric spaces via solid cone and non-normal cone.