Fixed Point Theorems in Generalized Types of Dislocated Metric Spaces and Its Applications

M.A. Ahmed, F.M. Zeyada, G.F. Hassan

Abstract

Two types of generalized dislocated metric spaces are introduced. Also, we prove some fixed point theorems in these spaces. These theorems are different generalizations of a fixed point theorem of Hitzler and Seda [P. Hitzler, A.K. Seda, Dislocated topologies, J. Electr. Engin. 51 (2000) 3–7]. Finally, we give applications on our results.