{"id":"W4409575416","doi":"10.1007/s10957-025-02633-4","title":"On Further Notions of Strong Nonexpansiveness and Corresponding Notions of Monotonicity","year":2025,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Monotonic function; Theory of computation; Mathematical economics; Pure mathematics; Calculus (dental); Mathematical analysis; Algorithm","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":[0.009759243,0.001423374,0.001903719,0.002843949,0.00335264,0.004182595,0.003228053,0.002844223,0.009349364],"category_scores_gemma":[0.02452253,0.001236534,0.003424332,0.002701937,0.01004127,0.02333769,0.007670944,0.009890319,0.0007597542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001461582,"about_ca_system_score_gemma":0.00107507,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006159264,"about_ca_topic_score_gemma":0.0007484907,"domain_scores_codex":[0.9954997,0.001866178,0.000357424,0.001060757,0.0008207351,0.00039524],"domain_scores_gemma":[0.9781901,0.01531798,0.001084107,0.002003596,0.00236937,0.001034832],"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":[0.0000234804,0.00003548076,0.0001594275,0.00005360839,0.00001467713,0.0000948159,0.0002785088,0.0006961446,0.0006103334,0.9944472,0.0005495073,0.003036772],"study_design_scores_gemma":[0.000009524705,0.00004057784,0.00029681,0.00003407527,0.00001655787,0.0001592752,0.000163834,0.005377213,0.0003275133,0.9902603,0.003298156,0.00001608144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.08574545,0.003213601,0.7646014,0.008944475,0.001173714,0.0002355906,0.0004108782,0.0001551881,0.1355197],"genre_scores_gemma":[0.7385831,0.003527141,0.2270439,0.00374708,0.002055617,0.0007457879,0.0004633985,0.0002684926,0.02356551],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009759243,"threshold_uncertainty_score":0.05161244,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006053476755323708,"score_gpt":0.2606017847142966,"score_spread":0.2545483079589729,"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."}}