Abstract
This work focuses on the class of multivalued regularized equilibrium problems in the context of uniformly prox-regular sets introduced and studied in [Noor, M.A.: Multivalued regularized equilibrium problems. J. Global Optim. 35, 483-492 (2006)]. The algorithms and results presented in the paper cited above are investigated and analyzed and some fatal errors in them are detected. Meanwhile, the correct version of the corresponding algorithm and results is given.
| Original language | English |
|---|---|
| Pages (from-to) | 573-593 |
| Number of pages | 21 |
| Journal | Miskolc Mathematical Notes |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 Miskolc University Press.
Keywords
- Auxiliary principle technique
- Convergence analysis
- Jointly pseudomonotone mappings
- Predictor-corrector methods
- Prox-regularity
- Regularized multivalued nonconvex equilibrium problems
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Numerical Analysis
- Discrete Mathematics and Combinatorics
- Control and Optimization