Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds-Reference-Cited by-同舟云学术

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Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds

Published:2016-07-21 Issue:3 Volume:170 Page:916-931
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Batista Edvaldo E. A.,Bento Glaydston de Carvalho,Ferreira Orizon P.

Funder

CAPES

CNPq

Publisher

Springer Science and Business Media LLC

Subject

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

Link

http://link.springer.com/content/pdf/10.1007/s10957-016-0982-2.pdf

Reference37 articles.

1. Ahmadi, P., Khatibzadeh, H.: On the convergence of inexact proximal point algorithm on Hadamard manifolds. Taiwan. J. Math. 18(2), 419–433 (2014)

2. Bačák, M.: The proximal point algorithm in metric spaces. Isr. J. Math. 194(2), 689–701 (2013)

3. Bento, G.C., Ferreira, O.P., Oliveira, P.R.: Proximal point method for a special class of nonconvex functions on Hadamard manifolds. Optimization 64(2), 289–319 (2015)

4. Papa Quiroz, E.A., Oliveira, P.R.: Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds. ESAIM Control Optim. Calc. Var. 18(2), 483–500 (2012)

5. Tang, G., Huang, N.: An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds. Oper. Res. Lett. 41(6), 586–591 (2013)

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