TY - JOUR

T1 - On M-Metric Space and Fixed Point Theorems.

AU - Samer Assaf, Samer Assaf

N1 - Samer Assaf: On M-Metric Space and Fixed Point Theorems. Topology Proceedings.54 (2019) pp 81-102. (E published on September 27, 2018)

PY - 2019

Y1 - 2019

N2 - In this paper we make some observations concerning M−metric spaces and point out some discrepancies in some proofs found in the literature. To remedy this, we propose a new topolog- ical construction and prove that it is, in fact, a generalization of a partial metric space. Then, using this construction, we present our main theorem, having as its corollaries the fixed point theorems found in previous publications.

AB - In this paper we make some observations concerning M−metric spaces and point out some discrepancies in some proofs found in the literature. To remedy this, we propose a new topolog- ical construction and prove that it is, in fact, a generalization of a partial metric space. Then, using this construction, we present our main theorem, having as its corollaries the fixed point theorems found in previous publications.

UR - https://dspace.auk.edu.kw/handle/11675/5748

M3 - Article

VL - 54

SP - 81

EP - 102

JO - Topology Proceedings

JF - Topology Proceedings

ER -