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Sufficiency and duality in multiobjective programming involving generalized $$(F,\rho)$$-convexity. (English) Zbl 0973.90069
Summary: New classes of generalized $$(F,\rho)$$-convexity are introduced for vector-valued functions. Examples are given to show their relations with $$(F,\rho)$$-pseudoconvex, $$(F,\rho)$$-quasiconvex, and strictly $$(F,\rho)$$-pseudoconvex vector-valued functions. The sufficient optimality conditions and duality results are obtained for multiobjective programming involving generalized $$(F,\rho)$$-convex vector-valued functions.

MSC:
 90C29 Multi-objective and goal programming 90C46 Optimality conditions and duality in mathematical programming
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References:
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