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math.OC2025
Bilevel Programming Problems: A view through Set-valued Optimization
Kuntal Som, Thirumulanathan D, Joydeep Dutta
Bilevel programming is one of the very active areas of research with many real-life applications in economics and engineering. Bilevel problems are hierarchical problems consisting…
math.OC2025
KKT Reformulations for Single Leader and Multi-Follower Games
Parin Chaipunya, Thirumulanathan D, Joydeep Dutta
We consider a bilevel optimization problem having a single leader and multiple followers. The followers choose their strategies simultaneously, and are assumed to converge to a Nas…
math.OC2019
Approximations for Pareto and Proper Pareto solutions and their KKT conditions
Poonam Kesarwani, Pradyuman K. Shukla, Joydeep Dutta +1
In this article, we view the approximate version of Pareto and weak Pareto solutions of the multiobjective optimization problem through the lens of KKT type conditions. We also foc…