On regular semimetric spaces having strong triangle functions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-016-0395-8
Abstract: In this paper, we show that every regular semimetric space having a strong triangle function $$\Phi $$Φ is metrizable if $$\Phi $$Φ is continuous in each of its variables at (0, 0). We also construct a… read more here.
Keywords: semimetric spaces; strong triangle; spaces strong; regular semimetric ... See more keywords
New Generalization of Metric-Type Spaces - Strong Controlled
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DOI: 10.3390/sym15020416
Abstract: In this manuscript, we establish a new type of metric space that is called controlled strong metric spaces by introducing a controlled function to the triangle inequality as follows: ℘(s,r)≤℘(s,z)+η(z,r)℘(z,r), and keeping the symmetry condition… read more here.
Keywords: type; type spaces; new generalization; metric type ... See more keywords