Ye, Y. L. \(D\)-invexity and optimality conditions. (English) Zbl 0755.90074 J. Math. Anal. Appl. 162, No. 1, 242-249 (1991). Summary: A generalization of convexity, called \(d\)-invexity, is introduced. Substituting \(d\)-invex for convex, we get some optimality conditions for nondifferentiable multiobjective programming. The application is demonstrated by an example. Cited in 28 Documents MSC: 90C29 Multi-objective and goal programming 49J52 Nonsmooth analysis 26B25 Convexity of real functions of several variables, generalizations 90C30 Nonlinear programming PDFBibTeX XMLCite \textit{Y. L. Ye}, J. Math. Anal. Appl. 162, No. 1, 242--249 (1991; Zbl 0755.90074) Full Text: DOI References: [1] Bazaraa, M. S.; Shetty, C. M., Nonlinear programming theory and algorithm (1979), John Wiley and Sons, Inc. · Zbl 0476.90035 [2] Hanson, M. A., On sufficiency of the Kuhn-Tucker condition, J. Math. Anal. Appl., 80, 545-550 (1981) · Zbl 0463.90080 [3] Martin, D. H., The essence of invexity, JOTA, 47, 65-76 (1985) · Zbl 0552.90077 [4] Kaul, R. N.; Kaur, S., Optimality criteria in nonlinear programming involving non-convex functions, J. Math. Anal. Appl., 105, 104-112 (1985) · Zbl 0553.90086 [5] Tanino, T.; Sawaragi, Y., Duality theory in multiobjective programming, JOTA, 27, 509-529 (1979) · Zbl 0378.90100 [6] Y. L. Ye and Q. M. DongJOTA; Y. L. Ye and Q. M. DongJOTA This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.