{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009895811,0.0003940651,0.0005111829,0.000941716,0.001007457,0.001165596,0.0004861678,0.0005860231,0.001545789],"category_scores_gemma":[0.003440683,0.0002493925,0.0005275063,0.0003951674,0.002666149,0.002249392,0.002051421,0.001180003,0.00008902878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00054506,"about_ca_system_score_gemma":0.0004546913,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006474803,"about_ca_topic_score_gemma":0.0003373972,"domain_scores_codex":[0.9995556,0.0001543103,0.00001729611,0.00005933623,0.0001257453,0.00008768733],"domain_scores_gemma":[0.9988373,0.000624058,0.0001350991,0.00005515744,0.0001576949,0.0001907661],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006965053,0.00001965414,0.0007827044,0.00003572251,0.00002441741,0.0001964959,0.0003316755,0.01080068,0.00239329,0.9794958,0.0004544844,0.005395473],"study_design_scores_gemma":[0.00001781826,0.00005057462,0.0008365563,0.00002258505,0.00001095151,0.0003115395,0.000309278,0.118169,0.001947424,0.8757468,0.002557626,0.00001998478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6266813,0.0007529726,0.3491847,0.0008917896,0.00006356703,0.0000295302,0.00007679577,0.00008724753,0.02223215],"genre_scores_gemma":[0.9825065,0.0003402033,0.01329821,0.00003890536,0.00004911649,0.00003749707,0.00006652175,0.00001691561,0.003646164],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001545789,"threshold_uncertainty_score":0.005233467,"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."}}