Fixed Point Theorems of Hegedus Contraction Mapping in Some Types of Distance Spaces

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

Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt.

DOI: 10.4236/ijmnta.2012.13013                

Abstract

In the present paper, we prove some fixed point theorems of Hegedus contraction in some types of distance spaces, dislocated metric space, left dislocated metric space, right dislocated metric space and dislocated quasi-metric metric space which are generalized metrics spaces where self-distances are not necessarily zero.

Keywords

Distance Space; Dislocated Metric Spaces; Quasi-Metric Spaces; Dislocated Quasi-Metric Spaces; Contraction

Conflicts of Interest

The authors declare no conflicts of interest.

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