19 research outputs found
Sequences in a fuzzy metric space
Get PDFAbstractIn this paper, we introduce the concept of bounded sequences in a fuzzy metric space X, d, Min, Max) and show that every convergent sequence in X is bounded. We also discuss the space of convergent sequences in a complete fuzzy metric space (X, d, Min, Max)
A note on convex functions
Get PDFIn this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions
On the trajectory structure of quadratic differentials on a torus.
No full textOn the trajectory structure of quadratic differentials on a torus
A note on convexity and semicontinuity of fuzzy mappings
Get PDFAbstractBy using parameterized representation of fuzzy numbers, criteria for a lower semicontinuous fuzzy mapping defined on a non-empty convex subset of Rn to be a convex fuzzy mapping are obtained
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