Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds

Papa Quiroz E.A.; Baygorrea N.; Maculan N. · Lecture Notes in Networks and Systems (2022) · DOI: 10.1007/978-3-030-92666-3_16

Resumen

In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds. These tools and results can be applied to introduce new algorithms for solving nonsmooth nonconvex multiobjective minimization problems on Hadamard manifolds.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad Privada del Norte