Invited Session Fri.3.H 1029

Friday, 15:15 - 16:45 h, Room: H 1029

Cluster 15: Multi-objective optimization [...]

Optimality conditions in multiobjective optimization


Chair: Akhtar A. Khan



Friday, 15:15 - 15:40 h, Room: H 1029, Talk 1

Qinghong Zhang
Efficiency conditions for semi-infinite multiobjective optimization problems

Coauthor: G. J. Zalmai


In this study, we present a theorem of the alternative concerning an infinite system of equalities and inequalities, and then, utilizing this result and the concepts of Dini and Hadamard directional derivatives and differentials, we establish a set of Karush-Kuhn-Tucker-type necessary efficiency conditions under the generalized Abadie and Guignard constraint qualifications for a semi-infinite multiobjective optimization problem. Furthermore, we briefly discuss the relevance and applicability of the necessary efficiency results to some semi-infinite multiobjective optimization problems, including a nonclassical problem in the calculus of variations with an infinite number of isoperimetric-type equality and inequality constraints, and problems involving support functions, arbitrary norms, and positive semidefinite quadratic forms.



Friday, 15:45 - 16:10 h, Room: H 1029, Talk 2

Akhtar A. Khan
On a Convex Optimization Problem in Predicting Tumor Location


This talk will focus on the inverse problem of locating tumor is the human body. The inverse problem is posed as a constrained optimization problem with a convex objective functional. A variant of this problem that demands tools from set-valued optimization will also be discussed. Numerical examples will be presented.



Friday, 16:15 - 16:40 h, Room: H 1029, Talk 3

Baasansuren Jadamba
Regularization of stochastic variational inequalities and comparison of an Lp and a sample-path approach for network problems

Coauthor: Fabio Raciti


The talk will focus on some recent results on stochastic variational inequalities by using regularization techniques. We will also present a comparison between our approach to stochastic variational inequalities an another approach used extensively in the literature. Two small scale network equilibrium problems will be discussed in detail to better illustrate the conceptual difference between the two approaches as well as the computational methods.


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