The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales
2018; Springer International Publishing; Linguagem: Inglês
10.1007/978-3-319-75647-9_41
ISSN2194-1017
AutoresDafang Zhao, Guoju Ye, Wei Liu, Delfim F. M. Torres,
Tópico(s)Optimization and Variational Analysis
ResumoWe investigate properties of the fuzzy Henstock–Kurzweil delta integral (shortly, FHK $$\varDelta $$ -integral) on time scales, and obtain two necessary and sufficient conditions for FHK $$\varDelta $$ -integrability. The concept of uniformly FHK $$\varDelta $$ -integrability is introduced. Under this concept, we obtain a uniformly integrability convergence theorem. Finally, we prove monotone and dominated convergence theorems for the FHK $$\varDelta $$ -integral.
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