Aleksandr Arakcheev
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Aleksandr Arakcheev has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Heinz H. Bauschke
Mathematics, University of British Columbia, Kelowna, B.C. V1V 1V7, Canada
2 shared publications
Latest Publications
- 12 August 2026
- Published by Springer Nature in Journal of Optimization Theory and Applications
- Vol. 210 (3) , 46
Fejér and Fejér* Monotonicity: Differences, Similarities, and the Role of the Relative Interior
- 12 August 2026
- Published by Springer Nature in Journal of Optimization Theory and Applications
- Vol. 210 (3) , 46
Fejér and Fejér* Monotonicity: Differences, Similarities, and the Role of the Relative Interior
- Open Access
Fejér and Fejér* Monotonicity: New Results and Limiting Examples
Many algorithms in convex optimization and variational analysis can be analyzed using Fejér monotone sequences. In 2024, Behling, Bello-Cruz, Iusem, Alves Ribeiro, and Santos introduced a new, more general, notion: Fejér* monotonicity. They obtained basic results and discussed applications in optimization. In this work, we complement Behling et al.'s work by presenting a thorough study of Fejér* monotonicity. We reveal striking similarities and differences between these notions, including descriptions of the maximal Fejér* set. Moreover, we also touch upon Opial sequences and quasi-Fejér monotonicity. Throughout this paper, we provide numerous limiting examples and counterexamples.
Open AccessFejér and Fejér* Monotonicity: New Results and Limiting Examples
Many algorithms in convex optimization and variational analysis can be analyzed using Fejér monotone sequences. In 2024, Behling, Bello-Cruz, Iusem, Alves Ribeiro, and Santos introduced a new, more general, notion: Fejér* monotonicity. They obtained basic results and discussed applications in optimization. In this work, we complement Behling et al.'s work by presenting a thorough study of Fejér* monotonicity. We reveal striking similarities and differences between these notions, including descriptions of the maximal Fejér* set. Moreover, we also touch upon Opial sequences and quasi-Fejér monotonicity. Throughout this paper, we provide numerous limiting examples and counterexamples.