{"id":"W2998099872","doi":"10.1186/s13663-021-00709-0","title":"On compositions of special cases of Lipschitz continuous operators","year":2021,"lang":"en","type":"article","venue":"Fixed Point Theory and Algorithms for Sciences and Engineering","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Vetenskapsrådet","keywords":"Lipschitz continuity; Monotone polygon; Convergence (economics); Mathematical proof; Mathematics; Applied mathematics; Mathematical optimization; Algorithm; Computer science; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.004325487,0.0009621961,0.0007703328,0.001483849,0.001404342,0.001978104,0.0006278687,0.001260924,0.003107925],"category_scores_gemma":[0.01229748,0.0006377894,0.00144353,0.0008281727,0.003969739,0.004834766,0.003126936,0.002177221,0.0005213539],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001210697,"about_ca_system_score_gemma":0.001086787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008226485,"about_ca_topic_score_gemma":0.0006580744,"domain_scores_codex":[0.9977908,0.0006985968,0.0001820123,0.0004075956,0.0007163155,0.0002047525],"domain_scores_gemma":[0.9953549,0.002806433,0.0005617426,0.0003106572,0.0006342818,0.000332027],"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":[0.00007952786,0.00003819961,0.001129057,0.00007575022,0.0000252891,0.0005708798,0.0003272498,0.02633464,0.01020135,0.9519203,0.0002966728,0.009001067],"study_design_scores_gemma":[0.00004813348,0.000151959,0.0005560272,0.0000660682,0.00004124014,0.000708903,0.000341477,0.3569482,0.01259699,0.62183,0.006667849,0.00004317852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1510618,0.0007629839,0.8274491,0.0004543025,0.0001121432,0.0001422099,0.00005364994,0.000138851,0.01982489],"genre_scores_gemma":[0.716476,0.001409102,0.2685405,0.0002735358,0.0002510759,0.0003273798,0.0001802889,0.0001818733,0.01236011],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004325487,"threshold_uncertainty_score":0.02287567,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01069533374077519,"score_gpt":0.233396874082339,"score_spread":0.2227015403415638,"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."}}