{"id":"W4414063030","doi":"10.28924/2291-8639-23-2025-220","title":"Generalized \\(\\theta\\)-\\(\\Phi_{\\aleph}\\)-Contractions and \\(\\theta\\)-\\(\\mathscr{F}_{\\aleph}\\)-Expansion of Darbo-Type and Their Applications","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Prince Sultan University; King Mongkut's University of Technology North Bangkok","keywords":"Construct (python library); Order (exchange); Type (biology); Fixed point; Point (geometry); Differential (mechanical device)","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":[0.0007703476,0.0002592071,0.0007669473,0.001275563,0.0002200089,0.0001259024,0.0004123371,0.0001257263,0.00008035116],"category_scores_gemma":[0.000169884,0.0002060675,0.0003515118,0.001428589,0.0002894295,0.0002356152,0.0001529851,0.0002601543,0.000001921649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005767132,"about_ca_system_score_gemma":0.0001096324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009042436,"about_ca_topic_score_gemma":0.0001163821,"domain_scores_codex":[0.9978409,0.000110206,0.001165222,0.0003466431,0.0003628182,0.0001741964],"domain_scores_gemma":[0.9963291,0.0006750866,0.0009973156,0.0004401006,0.001413901,0.0001445176],"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":[0.0001622779,0.0006865021,0.00794711,0.00009867701,0.01228244,0.000003641621,0.000660206,0.0002529926,0.02671475,0.9076723,0.0006320237,0.04288704],"study_design_scores_gemma":[0.002944607,0.0001627943,0.01415697,0.0002441615,0.01161543,0.0002060607,0.002279075,0.01047582,0.01000898,0.8935803,0.05354929,0.0007765724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4693265,0.004661901,0.5161701,0.004644096,0.0001559704,0.0008132456,0.00022509,0.00006094337,0.003942142],"genre_scores_gemma":[0.9867742,0.002823645,0.009251269,0.0001404548,0.0001797823,0.0000740637,0.00003991737,0.00002181559,0.0006948205],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5174477,"threshold_uncertainty_score":0.8403187,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01313295838996759,"score_gpt":0.3165817842735954,"score_spread":0.3034488258836278,"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."}}