In the recent paper of Giorgi et al. (J Optim Theory Appl 171:70–89, 2016), the authors introduced the so-called approximate Karush–Kuhn–Tucker (AKKT) condition for smooth multiobjective optimization problems and obtained some AKKT-type necessary optimality conditions and sufficient optimality conditions for weak efficient solutions of such a problem. In this note, we extend these optimality conditions to locally Lipschitz multiobjective optimization problems using Mordukhovich subdifferentials. Furthermore, we prove that, under some suitable additional conditions, an AKKT condition is also a KKT one.
CITATION STYLE
Van Tuyen, N., Yao, J. C., & Wen, C. F. (2019). A note on approximate Karush–Kuhn–Tucker conditions in locally Lipschitz multiobjective optimization. Optimization Letters, 13(1), 163–174. https://doi.org/10.1007/s11590-018-1261-y
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