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
Fixed Point Results of Miculescu‐Mihail, Mitrović‐Hussain, and Boyd‐Wong Type in Regular Semimetric Spaces
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DOI: 10.1155/jom/6142882
Abstract: We establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex… read more here.
Keywords: fixed point; regular semimetric; point; miculescu mihail ... See more keywords