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Weak efficiency of non-smooth multiobjective programming via an h-approximation method |
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| รหัสดีโอไอ | |
| Creator | 1. Rekha Gupta 2. Manjari Srivastava |
| Title | Weak efficiency of non-smooth multiobjective programming via an h-approximation method |
| Publisher | Maejo University |
| Publication Year | 2558 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 9 |
| Journal No. | 1 |
| Page no. | 82 |
| Keyword | non-smooth vector optimization,h -approximation method,generalised type I functions,Lagrange function,saddle point |
| ISSN | 1905-7873 |
| Abstract | A non-smooth vector optimisation problem (VOP) over cones is considered. An h-approximated vector optimisation problem is constructed by modifying the objective and constraints of the VOP at a feasible point. An equivalence between their (weak) efficient solutions is given by assuming the functions involved in the VOP to be a generalised type I. Further, the definitions of Lagrange function Lh and saddle point are introduced for the h-approximated problem and saddle-point results are deduced. At the end, sufficient conditions for the existence of (weak) efficient solutions of the VOP and the saddle point of Lh are derived. Examples are given to support the results. |
