Qamrul Hasan Ansari

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...

Iteration of Complexity and Asymptotic Analysis of Gradient-Type Methods with Non-monotone Line Search on Riemannian Manifolds

Abstract This paper investigates gradient-type methods for solving optimization problems on Riemannian manifolds. In this approach, we utilize a search direction based on the gradient direction and employ a general non-monotone line search scheme to determine the stepsize at each...