Fixed point theorems in partially ordered metric spaces and applications
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2006/10/01
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Journal
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Indian UGC (journal)
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Refrences11
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Citations678
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T. Gnana Bhaskar
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V. Lakshmikantham
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| A fixed point theorem in partially ordered sets and some applications to matrix equations | Proceedings of the American Mathematical Society |
| 2003 | |
| Monotone flows and order intervals | 1994 | |||
| Theory of Set Differential Equations in Metric Spaces | 2005 | |||
| Theory of Fuzzy Differential Equations and Inclusions | 2003 | |||
| Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations | 2003 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Coupled fixed point results for new classes of functions on ordered vector metric space | Acta Mathematica Hungarica |
| 2024 | |
| Generation of fractals by $$\Phi$$-iterated tupling system | The Journal of Analysis |
| 2024 | |
| 3-Dimensional computational analysis of ϕ-contraction in GV-fuzzy metric spaces with applications | Chaos, Solitons & Fractals |
| 1 | 2024 |
Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space | Scientific Reports |
| 2024 | |
A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces | Journal of Mathematics |
| 2024 |
Citations Analysis
The category
Science: Mathematics 400
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces and was published in 2008. The most recent citation comes from a 2024 study titled Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space. This article reached its peak citation in 2013, with 99 citations. It has been cited in 131 different journals, 27% of which are open access. Among related journals, the Fixed Point Theory and Applications cited this research the most, with 156 citations. The chart below illustrates the annual citation trends for this article.