ABSTRACT
Let G be a family of selfmappings of a metric space (χ, d) and suppose that G is a semigroup under composition. For any χ ϵ χ, G(χ) = {g(χ): g ϵ G} is called the orbit of χ under G and a point z ϵ χ such that G(z) = {z} is called a fixed point of G. Fixed point properties of semigroups having various contractivity properties have been investigated by several writers (cf. [1], [3], [4], [5], [6]).
