Mathematical Sciences

Title :

Nonsmooth Optimization and Duality Theory Under Variable Dominance and Interval Uncertainty

Area of research :

Mathematical Sciences

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Principal Investigator :

Dr. Debdas Ghosh, Assistant Professor, Indian Institute of Technology (BHU), Banaras Hindu University, Varanasi

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Executive Summary :

Nonsmooth functions are common in optimization problems, such as maximum eigenvalue problems and support vector machine problems. Subdifferentials, variational inequalities, and conjugate function theory are used to solve these problems. Interval optimization problems (IOPs) are emerging fields in optimization theory, but there is a need for extensive development of nonsmooth analysis for IOPs. This project aims to develop theories for IOPs under D-dominance structure.

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Organizations involved