A Fixed Point Theorem of Strict Generalized Type Weakly Contractive Maps in Orbitally Complete Metric Spaces When the Control Function is not Necessarily Continuous

K.P.R. Sastry, Ch. Srinivasa Rao, N. Appa Rao [5] introduced the notation of a control function and proved a fixed point theorem for a strict generalized weakly contractive map of an orbitally complete metric space when the control function is not assumed to be continuous. In this paper we introduce the notation of a generalized type weakly contractive map of an orbitally complete metric space and prove a fixed point theorem for such maps without assuming the continuity of the control function. Our result answers an open problem raised in Sastry et al. [5], in the affirmative.