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Record W2071735139 · doi:10.1155/2010/721648

Takahashi's Legacy in Fixed Point Theory

2011· article· en· W2071735139 on OpenAlexaff
AnthonyTo-Ming Lau, Tomonari Suzuki

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.005
metaresearch head score (Gemma)0.010
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
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 score0.008
Threshold uncertainty score0.028

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0050.010
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.002
Science and technology studies0.0030.003
Scholarly communication0.0030.005
Open science0.0010.002
Research integrity0.0020.008
Insufficient payload (model declined to judge)0.0080.004

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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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".

Quick stats

Citations0
Published2011
Admission routes1
Has abstractyes

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