Necessary optimality conditions for a nonsmooth semi-infinite programming problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00742-9
Abstract: The nonsmooth semi-infinite programming $$\left( {\textit{SIP}}\right) $$SIP is solved in the paper (Mishra et al. in J Glob Optim 53:285–296, 2012) using limiting subdifferentials. The necessary optimality condition obtained by the authors, as well as… read more here.
Keywords: semi infinite; infinite programming; nonsmooth semi; optimality conditions ... See more keywords
On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1558-x
Abstract: In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under… read more here.
Keywords: multiobjective semi; sufficient optimality; infinite programming; type sufficient ... See more keywords
Lagrange Duality and Saddle-Point Optimality Conditions for Nonsmooth Interval-Valued Multiobjective Semi-Infinite Programming Problems with Vanishing Constraints
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DOI: 10.3390/axioms13090573
Abstract: This article deals with a class of nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints (NIMSIPVC). We introduce the VC-Abadie constraint qualification (VC-ACQ) for NIMSIPVC and employ it to establish Karush–Kuhn–Tucker (KKT)-type necessary optimality… read more here.
Keywords: programming problems; infinite programming; multiobjective semi; interval valued ... See more keywords