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Record W2071735139 · doi:10.1155/2010/721648

Takahashi's Legacy in Fixed Point Theory

2011· article· en· W2071735139 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueFixed Point Theory and Applications · 2011
Typearticle
Languageen
FieldMathematics
TopicFixed Point Theorems Analysis
Canadian institutionsUniversity of Alberta
Fundersnot available
KeywordsHonorFixed pointFixed-point theoremMathematical economicsPoint (geometry)MathematicsDifferential geometryRegular polygonComputer scienceSociologyLibrary scienceDiscrete mathematicsPure mathematicsMathematical analysis

Abstract

fetched live from OpenAlex

On March 31st, 2009, Professor Wataru Takahashi retired from the Tokyo Institute of Technology. We dedicate this special issue in honor of Professor Takahashi. Professor Takahashi has tremendous influence in fixed point theory and applications, through his outstanding research activities with over 300 journal publications—the total citations of his papers exceeds 2000 times, according to the MathSciNet—and supervision of 43 graduate students spanning more than 40 years. The 33 articles in this issue contain significant contributions reflecting his works including fixed point theory, approximation of fixed points in nonlinear analysis, and convex analysis. Professor Takahashi continues to be extremely active on research after his retirement. Finally, we are grateful to Professor Ravi Agarwal and the publishers of the journal Fixed Point Theory and Applications for giving us the opportunity to edit this special issue.

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.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.004
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.659
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0040.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0030.000

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.

Opus teacher head0.033
GPT teacher head0.277
Teacher spread0.244 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it