Generalized Ćirić-Reich-Rus Contractions for Multivalued Mappings in Weighted ψ-b-Metric Spaces with Numerical Applications
Bibliographic record
Abstract
This paper introduces groundbreaking fixed point and best proximity point results for multivalued mappings within the innovative framework of weighted ψ-b-metric spaces, addressing a significant gap in contemporary metric fixed point theory. We establish a novel and comprehensive fixed point theorem under a sophisticated generalized contractive condition of Reich–Rus–Ćirić type, uniquely incorporating both control functions and weight functions to achieve unprecedented theoretical depth. Our main contribution features an elegant synthesis of proximity point theory with weighted metric structures, providing a powerful analytical tool that transcends traditional metric limitations. Carefully constructed numerical examples demonstrate the practical applicability and theoretical robustness of our main theorems with applications to numerical examples. The obtained results represent a substantial advancement that not only unifies but significantly extends numerous classical theorems in the literature, opening new avenues for research in fixed point theory and their diverse applications across mathematical analysis.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".