Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium
Abstract The central objective of this paper is to study some rational-type fixed point results in the setting of b-metric spaces. Some definitions and concepts from the existing literature have been recalled in this direction. Utilizing the idea of Wardowski (Fixed Point Theory Appl. 2012:94, 2012)...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-01996-x |
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| _version_ | 1832585523382714368 |
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| author | Khaled Aldwoah Syed Khayyam Shah Alaa Mustafa Mohammed A. Almalahi Mohammed Hassan Amer Alsulami |
| author_facet | Khaled Aldwoah Syed Khayyam Shah Alaa Mustafa Mohammed A. Almalahi Mohammed Hassan Amer Alsulami |
| author_sort | Khaled Aldwoah |
| collection | DOAJ |
| description | Abstract The central objective of this paper is to study some rational-type fixed point results in the setting of b-metric spaces. Some definitions and concepts from the existing literature have been recalled in this direction. Utilizing the idea of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), novel fixed-point results are demonstrated via the iteration technique. Illustrative examples are presented to reinforce the authenticity and validity of the established results. Finally, the findings are employed to ensure the stability of the economic growth model and production-consumption equilibrium. |
| format | Article |
| id | doaj-art-c3f5b1b71be941489df8a448d5feedee |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-c3f5b1b71be941489df8a448d5feedee2025-01-26T12:45:02ZengSpringerOpenBoundary Value Problems1687-27702025-01-012025111910.1186/s13661-025-01996-xRational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibriumKhaled Aldwoah0Syed Khayyam Shah1Alaa Mustafa2Mohammed A. Almalahi3Mohammed Hassan4Amer Alsulami5Department of Mathematics, Faculty of Science, Islamic University of MadinahDepartment of Mathematics, University of MalakandDepartment of Mathematics, Faculty of Science, Northern Border UniversityDepartment of Mathematics, Hajjah UniversityDepartment of Mathematics, Faculty of Science, University of TabukDepartment of Mathematics, Turabah University College, Taif UniversityAbstract The central objective of this paper is to study some rational-type fixed point results in the setting of b-metric spaces. Some definitions and concepts from the existing literature have been recalled in this direction. Utilizing the idea of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), novel fixed-point results are demonstrated via the iteration technique. Illustrative examples are presented to reinforce the authenticity and validity of the established results. Finally, the findings are employed to ensure the stability of the economic growth model and production-consumption equilibrium.https://doi.org/10.1186/s13661-025-01996-xF $\mathbb{F}$ -contractionFixed pointb-metric spaceEconomic growthDifferential equationIntegral equations |
| spellingShingle | Khaled Aldwoah Syed Khayyam Shah Alaa Mustafa Mohammed A. Almalahi Mohammed Hassan Amer Alsulami Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium Boundary Value Problems F $\mathbb{F}$ -contraction Fixed point b-metric space Economic growth Differential equation Integral equations |
| title | Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium |
| title_full | Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium |
| title_fullStr | Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium |
| title_full_unstemmed | Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium |
| title_short | Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium |
| title_sort | rational type fixed point theorems in b metric spaces and their application to economic growth and market equilibrium |
| topic | F $\mathbb{F}$ -contraction Fixed point b-metric space Economic growth Differential equation Integral equations |
| url | https://doi.org/10.1186/s13661-025-01996-x |
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