Order-type Henstock and McShane integrals in Banach lattice setting
  We study Henstock-type integrals for functions defined in a compact metric space $T$ endowed with a regular $\sigma$-additive measure $\mu$, and taking values in a Banach lattice $X$. In particular, the space $[0,1]$ with the usual Lebesgue measure is considered. 
Domenico Candeloro, Anna Rita Sambucini
math.FA