Optimality conditions and duality for mathematical programming with equilibrium constraints including multiple interval-valued objective functions on Hadamard manifolds. (English) Zbl 07843812
Summary: This paper investigates mathematical programming with equilibrium constraints including multiple interval-valued objective functions on Hadamard manifolds. In the first part, both necessary and sufficient optimality conditions for some types of efficient solutions are considered. After that, the Wolfe and Mond-Weir type dual problems are formulated and the duality relations under geodesic convexity assumptions are examined. Some examples are proposed to illustrate the results.
MSC:
| 90C46 | Optimality conditions and duality in mathematical programming |
| 90C34 | Semi-infinite programming |
| 90C29 | Multi-objective and goal programming |
| 49K10 | Optimality conditions for free problems in two or more independent variables |
Keywords:
multiobjective mathematical programming; equilibrium constraints; interval-valued objective functions; Hadamard manifolds; Karush-Kuhn-Tucker optimality conditions; Mond-Weir and Wolfe dualityReferences:
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