Generalized Contraction and its Applications

Abstract

Abstract: In the present work, we define generalized contraction principle (d-cyclic) and obtain some results on fixed point in metric spaces specially in complete spaces. The aim of our research is to generalizes and improve the known results of existing references, specially the result of K. Prudhvi. In which, he has generalized contraction principle in dislocated Metric spaces and proved results on fixed point.