A special issue on Nonlinear Analysis and Optimization dedicated to Professor Simeon Reich, Part II
Bibliographic record
Abstract
in celebration of his 70th birthday.During his research career Professor Reich has made significant contributions to many areas of mathematics including nonlinear operator theory, nonlinear evolution and integral equations, the identification and estimation of nonlinear distributed parameter systems, infinitedimensional holomorphy, variational inequalities, and sequential and parallel algorithms in feasibility and optimization.His list of publications contains three monographs, nineteen edited volumes and more than 450 research papers.His work has had great impact on research in analysis and optimization, as well as on a wide range of their applications.Simeon has had fifteen PhD students and nine MSc students.In this special issue we present papers authored by a selected group of experts in the areas of nonlinear analysis and optimization theory.Most of the papers collected here have been contributed by collaborators, friends and colleagues of Simeon's, who were influenced by his research.Part II of the special issue contains nine papers contributed by well-known experts in nonlinear analysis and optimization from Canada, Egypt, Germany, Israel, Japan, Nigeria, Romania and USA.These papers cover a wide spectrum of important problems and topics of current research interest of analysis and optimization such as maximally monotone operators derived from nonsunny nonexpansive retractions; modulated ergodic theorems; proximal point algorithm in CAT(0) spaces; A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems; Hopf bifurcation of relative periodic solutions in a system of five passively mode-locked lasers; Sturm theorems and distance between adjacent zeros for second order integro-differential equations; disintegration of Young measures; Edelstein's fixed point theorem in semimetric spaces and a second order finite difference scheme for a variable infection-structured model of mycobacterium marinum dynamics in aquatic animals.Therefore we feel that this special issue will be very valuable for many mathematicians and practitioners who are interested in recent developments in nonlinear analysis and optimization as well as their numerous applications.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.005 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.002 |
| Bibliometrics | 0.003 | 0.002 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.005 | 0.003 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.003 | 0.005 |
| Insufficient payload (model declined to judge) | 0.068 | 0.036 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".