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**Multiobjective programming under \(d\)-invexity.**
*(English)*
Zbl 1027.90076

Summary: A generalization of convexity is considered in the case of a nonlinear multiobjective programming problem where the functions involved are nondifferentiable. By considering the concept of Pareto optimal solution and substituting \(d\)-invexity for convexity, the Fritz John type and Karush-Kuhn-Tucker type necessary optimality conditions and duality in the sense of Mond-Weir and Wolfe for nondifferentiable multiobjective programming are given.

### MSC:

90C29 | Multi-objective and goal programming |

90C26 | Nonconvex programming, global optimization |

26B25 | Convexity of real functions of several variables, generalizations |

### Keywords:

weak Pareto optimal solution; \(d\)-Invex function with respect to \(\eta\); optimality conditions; duality
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\textit{T. Antczak}, Eur. J. Oper. Res. 137, No. 1, 28--36 (2002; Zbl 1027.90076)

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### References:

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