COMMON FIXED POINTS OF PRESIC TYPE CONTRACTION MAPPINGS IN PARTIAL METRIC SPACES

Abstract

Presic (Publ. de L'Inst. Math. Belgrade, 5 (19), 75-78) introduced the concept of a kth-order Banach type contraction mapping and obtained fixed point of such mappings on metric spaces. Ciric and Presic (Acta Math. Univ. Comenian. LXXVI (2) (2007), 143-147) extended the notion to kth-order Ciric type contraction mappings on a metric space. On the other hand, Matthews (Ann. New York Acad. Sci. 728 (1994), 183-197) introduced the concept of a partial metric as a part of the study of denotational semantics of dataflow networks. He gave a modified version of the Banach contraction principle, more suitable in this context. In this paper, we study the common fixed points of kth-order Presic type contractions in the framework of partial metric spaces. We also present an example to validate our result.