Bibliographic Details
| Title: |
Optimality Conditions and Subdifferential Calculus for Infinite Sums of Functions. |
| Authors: |
Hantoute, Abderrahim1 (AUTHOR) hantoute@ua.es, Kruger, Alexander Y.2 (AUTHOR) alexanderkruger@tdtu.edu.vn, López, Marco A.1 (AUTHOR) marco.antonio@ua.es |
| Source: |
Journal of Optimization Theory & Applications. Mar2026, Vol. 208 Issue 3, p1-31. 31p. |
| Subjects: |
Subdifferentials, Infinite series (Mathematics), Variational principles, Mathematical functions |
| Abstract: |
The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm uniform lower semicontinuity are discussed. The main theorems give fuzzy subdifferential necessary conditions (multiplier rules) for a local minimum of the sum of an infinite collection of functions and fuzzy subdifferential sum rules without the traditional Lipschitz continuity assumptions. More subtle "quasi" versions of the uniform infimum and uniform lower semicontinuity properties are also discussed. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
