A bundle method using two polyhedral approximations of the $$\varepsilon $$ ε -enlargement of a maximal monotone operator-Reference-Cited by-同舟云学术

A bundle method using two polyhedral approximations of the $$\varepsilon $$ ε -enlargement of a maximal monotone operator

Published:2015-11-30 Issue:1 Volume:64 Page:75-100
ISSN:0926-6003
Container-title:Computational Optimization and Applications
language:en
Short-container-title:Comput Optim Appl

Author:

Nagesseur Ludovic

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10589-015-9808-7.pdf

Reference28 articles.

1. Burachik, R.S., Iusem, A.N.: Set-Valued Mappings and Enlargements of Monotone Operators, Springer Optimization and Its Applications, vol. 8. Springer, New York (2008)

2. Burachik, R.S., Iusem, A.N., Svaiter, B.F.: Enlargement of monotone operators with applications to variational inequalities. Set-Valued Anal. 5(2), 159–180 (1997)

3. Burachik, R.S., Sagastizábal, C., Svaiter, B.F.: Bundle methods for maximal monotone operators. In: Ill-Posed Variational Problems and Regularization Techniques (Trier, 1998). Lecture Notes in Economics and Mathematical Systems, vol. 477, pp. 49–64. Springer, Berlin (1999)

4. Burachik, R.S., Sagastizábal, C.A., Svaiter, B.F.: $$\varepsilon $$ ε -enlargements of maximal monotone operators: theory and applications. In: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Lausanne, 1997). Applied Optimization, vol. 22, pp. 25–43. Kluwer Academic Publishers, Dordrecht (1999)

5. Burachik, R.S., Svaiter, B.F.: $$\varepsilon $$ ε -enlargements of maximal monotone operators in Banach spaces. Set-Valued Anal. 7(2), 117–132 (1999)