On One Parameter Semigroup of Self Mappings Uniformly Satisfying Expansive Kannan Condition

The aim of this paper is to prove existence results on fixed points for asymptotically regular uniformly expansive Kannan semigroup of selfmappings (with constant β SQRT2) defined on metric spaces equipped with uniform normal structure which further enjoys a kind of intersection property. As Banach spaces also fall in the class of metric spaces with uniform normal, therefore our results can be viewed as metric versions of some earlier results due to Kannan originally proved in reflexive Banach spaces besides generalizing certain previously known results due to Beg and Azam proved in convex metric spaces.