A Triple Fixed-Point Theorem for Orthogonal ℓ-Compatible Maps in Orthogonal Complete Metric Space
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Bibliographic record
Abstract
Fixed-point techniques are fundamental in mathematical analysis, providing versatile tools for solving various problems across different domains.The utility of these techniques has attracted considerable interest from researchers, leading to numerous investigations and developments in this area.This article introduces the new concept of a hybrid pair of an orthogonal -compatible map on orthogonal-complete metric space.We prove some common triple-fixed-point results for such contractions.We have achieved several significant outcomes regarding triple fixed points for contraction mappings.These outcomes not only advance the theory of fixed-point theorems but also facilitate practical applications in mathematical modeling and analysis.To exhibit the potency of our approach, we provide an example that demonstrates the soundness of the new theorem premise, highlighting its relevance and applicability in real-world situations.The discoveries presented in this article have important implications for the study of integral equations.By using the triple fixed-point results established here, we can prove the existence of solutions to integral equations, which helps to solve important problems in mathematical physics, engineering, and other fields.In general, the contributions of this work expand the horizons of fixed-point theory and offer valuable insights into its applications in various areas of mathematics and beyond.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| 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 |
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