In this paper we extend a (scalarized) generalized type-I invexity into a vector invexity (V-type I). A number of sufficiency results are established using Lagrange multiplier conditions and under various types of generalized V-type I requirements. Weak, strong, and converse duality theorems are proved in the generalized V-invexity type I setting. © 2001 Academic Press.
Hanson, M., Pini, R., Singh, C. (2001). Multiobjective programming under generalized type I invexity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 261(2), 562-577 [10.1006/jmaa.2001.7542].
Multiobjective programming under generalized type I invexity
PINI, RITA;
2001
Abstract
In this paper we extend a (scalarized) generalized type-I invexity into a vector invexity (V-type I). A number of sufficiency results are established using Lagrange multiplier conditions and under various types of generalized V-type I requirements. Weak, strong, and converse duality theorems are proved in the generalized V-invexity type I setting. © 2001 Academic Press.
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