{"id":"W4400822612","doi":"10.28924/2291-8639-22-2024-120","title":"Fixed Point Methodologies for ψ-Contraction Mappings in Cone Metric Spaces over Banach Algebra with Supportive Applications","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Regional Development Fund; Eusko Jaurlaritza","keywords":"Mathematics; Contraction (grammar); Metric space; Cone (formal languages); Banach space; Contraction principle; Fixed-point theorem; Pure mathematics; Algebra over a field; Algorithm; Linguistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002427057,0.0008261108,0.0006098758,0.001564567,0.001262917,0.001515872,0.0008899749,0.0007884244,0.002293438],"category_scores_gemma":[0.003121404,0.0002539251,0.001337229,0.0008675875,0.00259483,0.002540208,0.001960496,0.002077787,0.0002500742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001111876,"about_ca_system_score_gemma":0.0009183804,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008565611,"about_ca_topic_score_gemma":0.0005644301,"domain_scores_codex":[0.9994131,0.0002564201,0.00003839197,0.0001036068,0.0001325034,0.00005597704],"domain_scores_gemma":[0.9992917,0.0002866423,0.0001047764,0.00006689299,0.0001697466,0.0000802389],"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":[0.000007742063,0.00001263274,0.0001944077,0.00005831915,0.000008812787,0.0001060089,0.0002233272,0.005528332,0.001548775,0.9866096,0.0002175113,0.005484654],"study_design_scores_gemma":[0.000008627791,0.00008577897,0.0002799928,0.00004755551,0.00001372194,0.0001894893,0.0002065605,0.09098551,0.001196554,0.9021819,0.004786308,0.00001794294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04137579,0.002374353,0.9339309,0.0005999818,0.0001341504,0.00006784739,0.00003809943,0.00003676629,0.02144215],"genre_scores_gemma":[0.7194874,0.005375507,0.2601691,0.0002780462,0.0002730458,0.0003580282,0.000101145,0.00007771793,0.01388005],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002427057,"threshold_uncertainty_score":0.01283568,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03225067241011961,"score_gpt":0.3680126908796936,"score_spread":0.335762018469574,"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."}}