{"id":"W2124145662","doi":"10.1007/bf02842058","title":"Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces","year":2005,"lang":"en","type":"article","venue":"Journal of Zhejiang University Science","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Banach space; Uniformly convex space; Complementarity (molecular biology); Regular polygon; Pure mathematics; Nonlinear complementarity problem; Reflexive space; Hilbert space; Lp space; Eberlein–Šmulian theorem; Interpolation space; Mathematical analysis; Mixed complementarity problem; Nonlinear system; Functional analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002020093,0.00006062034,0.0001873391,0.0003109935,0.0001450012,0.00004335981,0.0005582937,0.00001789986,0.000015657],"category_scores_gemma":[0.0000496141,0.00004494348,0.0000429512,0.0008296089,0.0006826063,0.001212259,0.0002067754,0.00009175871,2.16937e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008981668,"about_ca_system_score_gemma":0.0002426088,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002457892,"about_ca_topic_score_gemma":0.0002337498,"domain_scores_codex":[0.9988561,0.00007926397,0.0003247888,0.0001305501,0.0004965063,0.0001128104],"domain_scores_gemma":[0.9988403,0.0001099477,0.0004629118,0.000116738,0.0004028063,0.00006724184],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0001673285,0.0004871822,0.635647,0.00007160477,0.0001066469,0.000003892937,0.007891493,0.02886439,0.003336309,0.316335,0.0001511891,0.006937943],"study_design_scores_gemma":[0.002681287,0.0001346658,0.7466278,0.0000409304,0.0000317433,0.000008656621,0.001937554,0.2447504,0.0001163154,0.002648895,0.0009175654,0.000104146],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9350445,0.00005560226,0.06091743,0.003274346,0.00003335862,0.0001065315,0.000008272607,0.000002931122,0.0005569917],"genre_scores_gemma":[0.9703915,0.00007799927,0.02940296,0.00008941103,0.00000668057,4.388361e-8,4.741727e-7,7.41365e-7,0.00003021899],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3136861,"threshold_uncertainty_score":0.2515091,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01119948238203457,"score_gpt":0.2148734713408102,"score_spread":0.2036739889587757,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}