Suneja, S. K.; Srivastava, Manjari K. Optimality and duality in nondifferentiable multiobjective optimization involving \(d\)-type I and related functions. (English) Zbl 0872.90081 J. Math. Anal. Appl. 206, No. 2, 465-479 (1997). Summary: New classes of functions, namely \(d\)-type-I, \(d\)-quasitype-I, and \(d\)-pseudo type-I, are defined for a multiobjective nondifferentiable programming problem. Kuhn-Tucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem. Two duals are formulated and various duality results are given by using the above defined classes of functions, considering the concept of a weak minimum. Cited in 14 Documents MSC: 90C29 Multi-objective and goal programming Keywords:multiobjective nondifferentiable programming; Kuhn-Tucker-type necessary and sufficient optimality conditions PDFBibTeX XMLCite \textit{S. K. Suneja} and \textit{M. K. Srivastava}, J. Math. Anal. Appl. 206, No. 2, 465--479 (1997; Zbl 0872.90081) Full Text: DOI