{"id":"W2899075797","doi":"10.1142/s1793557120500631","title":"New α-coupled fixed point theorem for 𝜃-contraction and its application to a class of systems of functional equations arising in dynamic programming","year":2018,"lang":"en","type":"article","venue":"Asian-European Journal of Mathematics","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Human Resource Development Group; Council of Scientific and Industrial Research, India; McMaster University","keywords":"Uniqueness; Class (philosophy); Fixed-point theorem; Contraction (grammar); Fixed point; Mathematics; Bounded function; Contraction mapping; Set (abstract data type); Pure mathematics; Point (geometry); Dynamic programming; Applied mathematics; Discrete mathematics; Mathematical analysis; Computer science; Mathematical optimization","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.003299998,0.0001746346,0.0005715127,0.0004613847,0.00006321015,0.00003918963,0.0001975274,0.00005278886,0.00001346399],"category_scores_gemma":[0.001978072,0.0001513241,0.0001643602,0.000388885,0.00005576549,0.0001900302,0.00004109108,0.000157267,0.000005602522],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009807034,"about_ca_system_score_gemma":0.00008026203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006923275,"about_ca_topic_score_gemma":0.00003576842,"domain_scores_codex":[0.9975466,0.0001738796,0.001560993,0.0001580581,0.0003698512,0.0001906924],"domain_scores_gemma":[0.9962162,0.0008356474,0.001852305,0.0002687823,0.0007160968,0.0001110097],"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":[0.0005941461,0.001288079,0.0001133484,0.002540868,0.0009546958,0.00001163746,0.01878654,0.002474649,0.1620523,0.7673809,0.000433972,0.04336889],"study_design_scores_gemma":[0.006557777,0.002630607,0.001447084,0.004747231,0.001911731,0.0004611521,0.01873266,0.677388,0.009841521,0.2749563,0.0004528144,0.0008731373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1584863,0.00006727564,0.8400405,0.0002685704,0.00009957331,0.0006520076,0.000005833947,0.00001304437,0.0003668523],"genre_scores_gemma":[0.8817475,0.000004880858,0.1179864,0.00000824279,0.0001264472,0.000008098182,0.000002821588,0.00004565227,0.00006994456],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7232612,"threshold_uncertainty_score":0.6170816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02612393823528357,"score_gpt":0.2851787796048901,"score_spread":0.2590548413696065,"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."}}