{"id":"W2101393121","doi":"10.1007/s11228-011-0187-7","title":"Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality","year":2011,"lang":"en","type":"article","venue":"Set-Valued and Variational Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":55,"is_retracted":false,"has_abstract":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; Okanagan College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Iterated function; Monotone polygon; Mathematics; Duality (order theory); Fixed point; Dual (grammatical number); Convergence (economics); Pure mathematics; Monotonic function; Discrete mathematics; Mathematical analysis","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":[0.0006089706,0.0002121489,0.00036474,0.0005072565,0.0003489417,0.0002759473,0.0002454578,0.00009401995,0.0002349509],"category_scores_gemma":[0.0001199777,0.0001911006,0.0000984983,0.001594342,0.00009187498,0.0007864687,0.0002468824,0.0001068657,0.00001221557],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002420392,"about_ca_system_score_gemma":0.000077185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006240391,"about_ca_topic_score_gemma":0.00005186245,"domain_scores_codex":[0.9981659,0.0001715854,0.0003988314,0.0006620529,0.0003946011,0.0002070152],"domain_scores_gemma":[0.9988082,0.0001452771,0.0001942966,0.000275457,0.0003716066,0.0002051701],"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":[0.00008427304,0.0001928266,0.08419247,0.00002967145,0.002470521,0.00001554105,0.009564553,0.001875015,0.000272323,0.8987916,0.0001538372,0.002357368],"study_design_scores_gemma":[0.0003616952,0.00004016254,0.3127097,0.000006390086,0.000462024,0.000008999268,0.0001174927,0.6776665,0.00002732111,0.008240182,0.0001119677,0.0002475735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0874484,0.0002156678,0.9097159,0.00153116,0.0000581932,0.0001463841,0.00005990237,0.00007519651,0.0007492151],"genre_scores_gemma":[0.8930039,0.0001867343,0.105145,0.001052974,0.00004316796,0.00001936101,0.00007050265,0.000007499956,0.0004707756],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8905514,"threshold_uncertainty_score":0.7792856,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02664853637802502,"score_gpt":0.2432763106379922,"score_spread":0.2166277742599672,"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."}}