First and second order optimality conditions using approximations for fractional multiobjective bilevel problems under fractional constraints. (English) Zbl 1541.90319
Summary: In this paper, first and second order optimality conditions using the concept of approximations are developed for an optimistic fractional multiobjective bilevel problem with non-convex lower level problem. Our idea is based on using the properties of approximations in nonsmooth analysis and a separation theorem in convex analysis. All over the article, the data is assumed to be continuous but not necessarily Lipschitz.
MSC:
| 90C29 | Multi-objective and goal programming |
| 90C30 | Nonlinear programming |
| 90C32 | Fractional programming |
| 49J52 | Nonsmooth analysis |
| 49K99 | Optimality conditions |
Keywords:
fractional bilevel programming; optimal value function; second-order approximation; optimality conditions; multiobjective optimizationReferences:
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| [36] | DOI: 10.61186/ijmsi.19.1.211 ] [ Downloaded from ijmsi.ir on 2024-05-28 ] Powered by TCPDF (www.tcpdf.org) · Zbl 1541.90319 · doi:10.61186/ijmsi.19.1.211 |
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