Samer Assaf
Published 2017-12-23Version 1
In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topological 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.
Fixed point theorems for $α$--contractive mappings of Meir--Keeler type and applications
Partial n-metric spaces and fixed point theorems
Fixed point theorems in $G$-metric space
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