{"id":"W4312291961","doi":"10.23952/jnva.6.2022.4.07","title":"Order-preservation properties of resolvent operators and their applications to variational inequalities","year":2022,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Qinglan Project of Jiangsu Province of China; Government of Jiangsu Province; Ministry of Science and Technology, Taiwan; National Natural Science Foundation of China","keywords":"Resolvent; Variational inequality; Inequality; Order (exchange); Mathematics; Resolvent formalism; Applied mathematics; Algebra over a field; Pure mathematics; Calculus (dental); Mathematical analysis; Finite-rank operator; Banach space; Economics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001456689,0.0001064513,0.0002984512,0.0005859795,0.0002691683,0.00009901242,0.0003202914,0.00002631432,0.00005550626],"category_scores_gemma":[0.0001577201,0.00008538335,0.0001108939,0.00118626,0.000008935988,0.0004362217,0.0002972012,0.0001242504,3.272443e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005118519,"about_ca_system_score_gemma":0.0002657945,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001416513,"about_ca_topic_score_gemma":0.00002250994,"domain_scores_codex":[0.998367,0.0001941972,0.0006558084,0.0001714701,0.0005130194,0.00009852832],"domain_scores_gemma":[0.9981999,0.0002508724,0.000435102,0.0001570372,0.0008742001,0.00008282158],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005032277,0.0001845467,0.001385907,0.00002318341,0.000816276,6.8129e-7,0.003617942,0.01509972,0.002703239,0.9751406,0.00003860637,0.0009390283],"study_design_scores_gemma":[0.0006254248,0.000360553,0.01408932,0.00001836097,0.0002943209,0.00003126827,0.001429136,0.9423137,0.0004796337,0.0318253,0.008261153,0.000271783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04931764,0.0003732961,0.9448995,0.005038559,0.000076018,0.0001315599,0.0001297278,0.000007882442,0.00002579074],"genre_scores_gemma":[0.958955,0.0000330314,0.04028649,0.0004112052,0.0001419762,0.00003512455,0.00003152456,0.000005232591,0.0001003481],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9433153,"threshold_uncertainty_score":0.3481832,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04154399397981854,"score_gpt":0.266328926422264,"score_spread":0.2247849324424454,"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."}}