A nonlinear projection neural network for solving interval quadratic programming problems and its stability analysis.
On the locally uniformly weak star rotundity of Orlicz spaces.
In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
On the uniformly normal structure of Orlicz spaces with Orlicz norm
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
On W*UR point and UR point of Orlicz spaces with Orlicz norm.
For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Weakly compact sets in Orlicz sequence spaces
We combine the techniques of sequence spaces and general Orlicz functions that are broader than the classical cases of -functions. We give three criteria for the weakly compact sets in general Orlicz sequence spaces. One criterion is related to elements of dual spaces. Under the restriction of , we propose two other modular types that are convenient to use because they get rid of elements of dual spaces. Subsequently, by one of these two modular criteria, we see that a set in Riesz spaces ...
The criteria of strongly exposed points in Orlicz spaces
In Orlicz spaces, the necessary and sufficient conditions of strongly exposed points are given.
On uniformly nonsquare points and nonsquare points of Orlicz spaces
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
Page 1