{"id":"W27022379","doi":"10.1007/978-1-4419-9467-7_5","title":"Fejér Monotonicity and Fixed Point Iterations","year":2011,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Monotonic function; Monotone polygon; Sequence (biology); Fixed point; Convergence (economics); Mathematics; Point (geometry); Set (abstract data type); Discrete mathematics; Applied mathematics; Pure mathematics; Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002172113,0.0002221676,0.0003327209,0.0002523888,0.0000855304,0.0001570723,0.0003834325,0.0001721555,0.0002509434],"category_scores_gemma":[0.00003980666,0.0002088503,0.00009105829,0.00004879676,0.00004881909,0.0001970865,0.000228633,0.0002037063,0.00008427115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005167242,"about_ca_system_score_gemma":0.00006367517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000491056,"about_ca_topic_score_gemma":0.00001851501,"domain_scores_codex":[0.9988624,0.00001365124,0.0004652897,0.0003173239,0.0002100078,0.0001312557],"domain_scores_gemma":[0.9989645,0.00009377466,0.0002487393,0.0005131708,0.0001091352,0.00007062493],"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":[5.157248e-7,0.00002553383,0.000005123235,0.00003463017,0.00003033661,0.000004159391,0.001133662,0.00008269453,0.000002092175,0.997928,0.0002993393,0.0004539001],"study_design_scores_gemma":[0.0001527811,0.00001788993,0.00002372493,0.0001231716,0.0000378151,0.000008138758,0.000006541225,0.1799103,0.00001394891,0.8136091,0.00581806,0.0002785515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000006066495,0.0000841498,0.4672955,0.0002516009,0.00006105584,0.0001757847,0.000007622937,0.00005911231,0.5320591],"genre_scores_gemma":[0.001754704,0.0002036762,0.4097312,0.0004356737,0.00006009743,0.00002791689,0.00002689343,0.00004176152,0.5877181],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1843189,"threshold_uncertainty_score":0.8516669,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03033564003601453,"score_gpt":0.2302741201949981,"score_spread":0.1999384801589836,"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."}}