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- Title
Weak efficiency of non-smooth multiobjective programming via an η-approximation method.
- Authors
Gupta, Rekha; Srivastava, Manjari
- 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 OP 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 Lη and saddle point are introduced for the η-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 Lη are derived. Examples are given to support the results.
- Subjects
MATHEMATICAL optimization; SADDLEPOINT approximations; LAGRANGE multiplier; LIPSCHITZ spaces; MATHEMATICAL programming
- Publication
Maejo International Journal of Science & Technology, 2015, Vol 9, Issue 1, p82
- ISSN
1905-7873
- Publication type
Article
- DOI
10.14456/mijst.2015.9