{"id":"W4415914301","doi":"10.28924/2291-8639-23-2025-280","title":"Solving Split Mixed Equilibrium With Multiple Output Sets and Fixed Point of Certain Multi-Valued Mappings","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Variational inequality; Fixed point; Convergence (economics); Regular polygon; Hilbert space; Compact space; Minification; Convex optimization","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0008277281,0.0002775502,0.0007357308,0.001868925,0.0002053109,0.0004439901,0.000863277,0.0001090042,0.00005426656],"category_scores_gemma":[0.0001708435,0.0002387309,0.0004205147,0.002286269,0.0002825213,0.0006201777,0.0003692607,0.0002359807,0.000001726299],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009297579,"about_ca_system_score_gemma":0.0002706861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002022144,"about_ca_topic_score_gemma":0.00009902793,"domain_scores_codex":[0.9969484,0.000144175,0.001444118,0.0004968009,0.0007525348,0.0002140232],"domain_scores_gemma":[0.9948175,0.0003263468,0.001601004,0.0003561562,0.002705823,0.0001931487],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0007979792,0.004244093,0.2669126,0.0004190542,0.06954335,0.00004812675,0.006639737,0.2733102,0.006795271,0.2201337,0.0009717263,0.1501842],"study_design_scores_gemma":[0.001695056,0.00007045679,0.08166614,0.0001445882,0.00231058,0.00002395111,0.0005212533,0.910753,0.0005853201,0.0009677021,0.001026367,0.0002355653],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0303712,0.0007249255,0.9627426,0.005574596,0.0001190949,0.0002109253,0.0000698452,0.00001111757,0.0001757525],"genre_scores_gemma":[0.8782431,0.0005260066,0.1201424,0.0002803798,0.00007655771,0.00001601746,0.00003601468,0.000009250653,0.0006702134],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.847872,"threshold_uncertainty_score":0.9735165,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01358958294729116,"score_gpt":0.2745420659679443,"score_spread":0.2609524830206531,"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."}}