Debdas Ghosh

Newton method for set optimization problems with set-valued mapping of finitely many vector-valued functions

In this paper, we propose a Newton method for unconstrained set optimization problems to find their weakly minimal solutions with respect to lower set-less ordering. The objective function of the problem under consideration is given by finitely many strongly convex twice continuo...

Proximal point method with Bregman distance for nonconvex quasi-equilibrium problems

We introduce a Bregman proximal point method for solving pseudomonotone quasi-equilibrium problems. The algorithm is formulated using Bregman distances generated by Legendre functions and allows the bifunction to be nonconvex. Unlike existing Euclidean proximal approaches, our me...