Fixed-Point and Random Fixed-Point Theorems in Preordered Sets Equipped with a Distance Metric Article Swipe
Himanshu Baranwal
,
Ravindra K. Bisht
,
A. K. B. Chand
,
Jen-Chih Yao
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/math12182877
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/math12182877
This paper explores fixed points for both contractive and non-contractive mappings in traditional b-metric spaces, preordered b-metric spaces, and random b-metric spaces. Our findings provide insights into the behavior of mappings under various constraints and extend our approach to include coincidence and common fixed-point theorems in these spaces. We present new examples and graphical representations for the first time, offering novel results and enhancing several related findings in the literature, while broadening the scope of earlier works of Ran and Reurings, Nieto and Rodríguez-López, Górnicki, and others.
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Metadata
- Type
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- Language
- en
- Landing Page
- http://doi.org/10.3390/math12182877
- OA Status
- gold
- Cited By
- 1
- References
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- Related Works
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https://doi.org/10.3390/math12182877Digital Object Identifier
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Fixed-Point and Random Fixed-Point Theorems in Preordered Sets Equipped with a Distance MetricWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-09-15Full publication date if available
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Himanshu Baranwal, Ravindra K. Bisht, A. K. B. Chand, Jen-Chih YaoList of authors in order
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https://doi.org/10.3390/math12182877Publisher landing page
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goldOpen access status per OpenAlex
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https://doi.org/10.3390/math12182877Direct OA link when available
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Metric space, Fixed point, Mathematics, Metric (unit), Coincidence point, Scope (computer science), Fixed-point theorem, Point (geometry), Discrete mathematics, Pure mathematics, Computer science, Mathematical analysis, Geometry, Operations management, Economics, Programming languageTop concepts (fields/topics) attached by OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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| referenced_works | https://openalex.org/W6759297742, https://openalex.org/W6602953246, https://openalex.org/W4312420048, https://openalex.org/W4256046779, https://openalex.org/W2039778705, https://openalex.org/W2142309119, https://openalex.org/W2145364632, https://openalex.org/W1973567506, https://openalex.org/W2475400552, https://openalex.org/W4237844826, https://openalex.org/W2913256195, https://openalex.org/W3207833392, https://openalex.org/W6758581921, https://openalex.org/W4312126008, https://openalex.org/W2573704812, https://openalex.org/W2793800406, https://openalex.org/W2994602291, https://openalex.org/W2332549331, https://openalex.org/W2065984984, https://openalex.org/W1967474913, https://openalex.org/W6728775058, https://openalex.org/W4250507917, https://openalex.org/W3167317154, https://openalex.org/W178044176, https://openalex.org/W2793435614, https://openalex.org/W2126923828, https://openalex.org/W2963515256, https://openalex.org/W4213346713, https://openalex.org/W3008766008, https://openalex.org/W1966244882, https://openalex.org/W2940718537, https://openalex.org/W3031052947, https://openalex.org/W655621152, https://openalex.org/W2537611365, https://openalex.org/W72134831, https://openalex.org/W2913670109, https://openalex.org/W2911808921 |
| referenced_works_count | 37 |
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