{"id":"W3169756336","doi":"10.37193/cmi.2011.01.15","title":"Two elementary applications of some Presic type fixed point theorems","year":2011,"lang":"en","type":"article","venue":"Creative Mathematics and Informatics","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Fixed point; Nonlinear system; Convergence (economics); Type (biology); Fixed-point theorem; Mathematics; Applied mathematics; Point (geometry); Coincidence point; Calculus (dental); Pure mathematics; Mathematical analysis; Physics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007980107,0.0002990362,0.0006186291,0.0002401771,0.0001297719,0.00003437525,0.0003315056,0.00008424235,0.0007041841],"category_scores_gemma":[0.0002546823,0.0002347945,0.0001376152,0.0003639542,0.0003482955,0.0004253585,0.0002101307,0.000170153,0.00004831196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003688625,"about_ca_system_score_gemma":0.00004341966,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003537547,"about_ca_topic_score_gemma":0.000005002305,"domain_scores_codex":[0.9979993,0.00003985926,0.001214784,0.0001373283,0.0003216719,0.0002870983],"domain_scores_gemma":[0.9976417,0.0004110526,0.0008306133,0.0006912138,0.0003003872,0.0001249696],"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":[0.00001932236,0.0002876962,0.0001269078,0.0006668339,0.0002948164,5.501612e-7,0.02364425,0.000001600988,0.0001653593,0.9725105,0.0006683045,0.001613873],"study_design_scores_gemma":[0.0005733376,0.0001840944,0.00006407053,0.0001493894,0.0003949838,0.00001014938,0.0147119,0.004311958,0.007926239,0.9710121,0.0003590364,0.0003027454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.4685794,0.0004118313,0.2213812,0.00005832356,0.0001067291,0.002605193,0.0001745931,0.00025714,0.3064256],"genre_scores_gemma":[0.2839283,0.0002604129,0.7145058,0.0001242951,0.00007464792,0.0001468506,0.00004393328,0.00007850403,0.000837262],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4931246,"threshold_uncertainty_score":0.9574641,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03446166647574083,"score_gpt":0.2847350934348402,"score_spread":0.2502734269590994,"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."}}