A fixed point theorem in a lattice ordered semigroup cone valued cone metric spaces

In this paper, we introduce the notion of a cone which is a lattice ordered semigroup (l.o.s.g. cone) in a real Banach space, obtain certain preliminary results on such cones and obtain a fixed point theorem on a cone metric space with l.o.s.g. cone which eventually extends a result of Filipovic et. al. [M. Filipovi #x107;, L. Paunovi #x107;, S. Radenovi #x107; and M. Rajovi #x107;, Math. Compu. Model. 54 (2011), 14671472] to cone metric spaces equipped with l.o.s.g. cone.