Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

# Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0863.49018
Lehdili, N.; Moudafi, A.
Combining the proximal algorithm and Tikhonov regularization.
(English)
[J] Optimization 37, No.3, 239-252 (1996). ISSN 0233-1934; ISSN 1029-4945/e

Let $X$ be a real Hilbert space and $T:X\to 2^X$ a multivalued maximal monotone operator. The authors consider the following problem: $$\text{find }x\in X\text{ such that }0\in T(x).$$ They present an approximation method which combines the Tikhonov regularization with the proximal point algorithm. The convergence of the method is established. A particular attention is given to convex and convex-concave optimization problems.
[G.Vainikko (Espoo)]
MSC 2000:
*90C25 Convex programming
90C48 Programming in abstract spaces
65J20 Improperly posed problems (numerical methods in abstract spaces)

Keywords: maximal monotone operators; Tikhonov regularization; proximal point algorithm

Cited in: Zbl 1214.49009

Login Username: Password:

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster