Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization of Hadamard Manifolds

Author:

Bento Glaydston de C.ORCID,da Cruz Neto João Xavier,de Meireles Lucas V.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference24 articles.

1. Jahn, J.: Vector Optimization-Theory, Applications, and Extensions. Springer, Berlin (2004)

2. Bonnel, H., Iusem, A.N., Svaiter, B.F.: Proximal methods in vector optimization. SIAM J. Optim. 15(4), 953–970 (2005)

3. Bento, G.C., Ferreira, O.P., Pereira, Y.R.: Proximal point method for vector optimization on Hadamard manifolds. Oper. Res. Lett. 46(1), 13–18 (2018)

4. Bento, G.C., Cruz Neto, J.X., Soubeyran, A.: A proximal point-type method for multicriteria optimization. Set Valued Var. Anal. 22(3), 557–573 (2014)

5. Rockafellar, R.T.: Favorable classes of Lipschitz continuous functions in subgradient optimization. In: Nurminski, E. (ed.) Nondifferentiable Optimization. Pergamon Press, New York (1982)

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