{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002999367,0.0006090237,0.0006815523,0.001912963,0.0009489938,0.0023676,0.0007871985,0.0007845897,0.003035066],"category_scores_gemma":[0.004889543,0.0004048485,0.001064066,0.0005247034,0.002631158,0.002224151,0.001618032,0.001307394,0.0002076755],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009511852,"about_ca_system_score_gemma":0.0004059504,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003755662,"about_ca_topic_score_gemma":0.000213078,"domain_scores_codex":[0.9989704,0.0003223645,0.00007223232,0.0002610209,0.0002810464,0.00009291653],"domain_scores_gemma":[0.9961599,0.002115163,0.0005958399,0.0001554295,0.0005220559,0.0004515377],"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":[0.000175046,0.00008091609,0.002239074,0.0001139449,0.00005942636,0.0007591029,0.001704224,0.01107757,0.01961764,0.9588712,0.0003383717,0.004963478],"study_design_scores_gemma":[0.00005977441,0.0003814458,0.002972311,0.00005504324,0.00004598276,0.0008750842,0.001157441,0.1914775,0.008472165,0.7915049,0.00294482,0.00005361604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7258518,0.0007344956,0.2615682,0.0004440319,0.0000897782,0.00008473733,0.0001202718,0.00005080607,0.01105574],"genre_scores_gemma":[0.9750763,0.0001995503,0.02088051,0.00003698191,0.00007002584,0.0000994892,0.0000931398,0.00002065021,0.003523403],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003035066,"threshold_uncertainty_score":0.01586235,"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."}}