Discussion on the Equivalence of W-Distances With Ω-Distances
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Date
2015
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Publisher
Yokohama Publications
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Abstract
In this manuscript, we study some relationships between w-distances on metric spaces and Ω-distances on G*-metric spaces. Concretely we show that the class of all w-distances on metric spaces is a subclass of all Ω-distances on G*-metric spaces. Then, researchers must be careful because some recent results about w-distances (for instances, in the topic of fixed point theory) can be seen as simple consequences of their corresponding results about Ω-distances. In this sense, we show how to translate some results between different metric models. © 2015.
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Keywords
Fixed point, Relationships between different models, w-distance, Ω-distance
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Source
Journal of Nonlinear and Convex Analysis
Volume
16
Issue
8
Start Page
1583
End Page
1591