{"id":"W2903446088","doi":"10.2478/aupcsm-2018-0007","title":"Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces","year":2018,"lang":"en","type":"article","venue":"Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Banach space; Regular polygon; Dual (grammatical number); Fixed point; Norm (philosophy); Fixed-point property; Pure mathematics; Uniformly convex space; Discrete mathematics; Mathematical analysis; Lp space; Banach manifold; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003976621,0.0002389859,0.0005313155,0.0004560291,0.0002323613,0.00007074901,0.0003823313,0.00007776026,0.00008711092],"category_scores_gemma":[0.0003753389,0.0001991592,0.0001719809,0.0008582688,0.0002058428,0.0004853177,0.0001984176,0.00008289093,0.00006811377],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000664506,"about_ca_system_score_gemma":0.0001196095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002633199,"about_ca_topic_score_gemma":0.00005105608,"domain_scores_codex":[0.9982288,0.0001238383,0.0004505486,0.0004833974,0.0004031858,0.0003102357],"domain_scores_gemma":[0.9977256,0.0006206325,0.0003457673,0.0003823584,0.0008347016,0.00009091316],"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":[0.0003009778,0.001613735,0.0009981061,0.0006102289,0.001055216,0.00007434175,0.1189212,0.001820475,0.003640524,0.8496861,0.018834,0.002445021],"study_design_scores_gemma":[0.01179938,0.00787499,0.02451821,0.002708009,0.0009886705,0.00008639872,0.1310797,0.7289568,0.01787793,0.05740032,0.01245636,0.004253127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4320409,0.0003081557,0.5182627,0.02628225,0.00029756,0.00243817,0.0001523306,0.000285534,0.01993242],"genre_scores_gemma":[0.9226216,0.00005946972,0.07611565,0.0005566886,0.00002570172,0.00002179189,0.00001282048,0.00001219417,0.0005740628],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7922858,"threshold_uncertainty_score":0.8121478,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05165598083043365,"score_gpt":0.2788397013651341,"score_spread":0.2271837205347005,"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."}}