Abstract
In the present paper we study the set of b-bistochastic quadratic stochastic operators. Using the description of such kind of operators, we investigate extreme points of the set of b-bistochastic quadratic stochastic operators (q.s.o) acting on two dimensional simplex. Further, we introduce weaker conditions of extreme points called quasi-extreme of the set b- bistochastic quadratic stochastic operators (q.s.o) and study its relations with extreme points of the set b-bistochastic linear stochastic operators defined on two dimensional simplex.
| Original language | English |
|---|---|
| Pages (from-to) | 119-139 |
| Number of pages | 21 |
| Journal | Malaysian Journal of Mathematical Sciences |
| Volume | 11 |
| Issue number | 2 |
| Publication status | Published - May 1 2017 |
Keywords
- B-bistochastic
- B-order
- Bistochastic
- Doubly stochastic
- Extreme points
- Quadratic stochastic operators (q.s.o)
ASJC Scopus subject areas
- Mathematics(all)