{"id":"W2039168378","doi":"10.1016/j.aim.2011.10.002","title":"Fixed points and lines in 2-metric spaces","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Metric space; Fixed point; Real line; Bounded function; Axiom; Metric (unit); Product metric; Fixed-point theorem; Pure mathematics; Discrete mathematics; Mathematical 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":[0.001493607,0.001268177,0.001055524,0.004117159,0.001936837,0.00337097,0.001552705,0.002216128,0.005890516],"category_scores_gemma":[0.004593223,0.0006836291,0.001234929,0.002564881,0.00450516,0.007182375,0.002083559,0.004168168,0.0006520007],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001800701,"about_ca_system_score_gemma":0.0004809146,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001806734,"about_ca_topic_score_gemma":0.0012855,"domain_scores_codex":[0.9990657,0.0003844542,0.00004748007,0.0001904312,0.0002232309,0.00008878198],"domain_scores_gemma":[0.9976878,0.001335306,0.0003102554,0.0001746352,0.0002956429,0.0001962581],"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":[0.00001091837,0.000006240334,0.0001049691,0.00002313238,0.00000834323,0.00003996067,0.0001369065,0.000767696,0.0002127224,0.9961358,0.0004619735,0.002091193],"study_design_scores_gemma":[0.00001064841,0.00001238834,0.0001324971,0.000008537933,0.0000055992,0.00003833219,0.00005856303,0.002468853,0.00009095488,0.9950231,0.002143777,0.000006771668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2929309,0.01710554,0.5789606,0.006274191,0.0008057107,0.00009463541,0.0006119985,0.000356793,0.1028596],"genre_scores_gemma":[0.863749,0.008118767,0.08683087,0.0008775689,0.00176415,0.0002711766,0.000722137,0.0001846874,0.0374818],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005890516,"threshold_uncertainty_score":0.01970577,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03462532076016252,"score_gpt":0.3077115004616999,"score_spread":0.2730861797015374,"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."}}