Jayswal, Anurag; Singh, Vivek; Ahmad, I. Optimality and duality in multiobjective programming involving higher order semilocally strong convexity. (English) Zbl 07261413 Int. J. Math. Oper. Res. 11, No. 2, 204-218 (2017). Summary: In this paper, we propose a generalisation of convexity, namely higher order semilocally strong convexity for a nonlinear multiobjective programming problem, where the function involved are semidifferentiable. The generalised Karush-Kuhn-Tucker necessary and sufficient optimality conditions are derived. Moreover, a general Mond-Weir type dual problem is presented for nonlinear multiobjective programming problem involving higher order semilocally strong convexity and usual duality theorems are discussed. MSC: 90B Operations research and management science Keywords:multiobjective programming; semilocally strongly convex; optimality conditions; duality; strict minimiser of order \(m\) PDF BibTeX XML Cite \textit{A. Jayswal} et al., Int. J. Math. Oper. Res. 11, No. 2, 204--218 (2017; Zbl 07261413) Full Text: DOI