5 papers
Ball-proximal point method on a Hadamard Manifolds
F. Babu, O. P. Ferreira, L. F. Prudente +2
We consider the problem of minimizing a proper, lower semicontinuous, geodesically convex function on a Hadamard manifold. Building on ball-proximal (broximal) ideas in the Euclide…
Trust-Region Method for Optimization of Set-Valued Maps Given by Finitely Many Functions
Suprova Ghosh, Debdas Ghosh, Christiane Tammer +1
In this article, we develop a trust-region technique to find critical points of unconstrained set optimization problems with the objective set-valued map defined by finitely many t…
Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions
Debdas Ghosh, Anshika, Jen-Chih Yao +1
In this article, we propose a quasi-Newton method for unconstrained set optimization problems to find its weakly minimal solutions with respect to lower set-less ordering. The set-…
Generalized Ordered Weighted Aggregation Robustness to Solve Uncertain Single Objective Optimization Problems
Nand Kishor, Debdas Ghosh, Xiaopeng Zhao
Robust optimization aims to find optimum points from the collection of points that are feasible for every possible scenario of a given uncertain set. An optimum solution to a robus…
Newton Method for Set Optimization Problems with Set-Valued Mapping of Finitely Many Vector-Valued Functions
Debdas Ghosh, Anshika, Qamrul Hasan Ansari +1
In this paper, we propose a Newton method for unconstrained set optimization problems to find its weakly minimal solutions with respect to lower set-less ordering. The objective fu…