Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications
In this paper, the concept of convex rectangular b−metric spaces is introduced as a generalization of both convex metric spaces and rectangular b−metric spaces. The purpose of this study is to indicate a way of generalizing Mann’s iteration algorithm and a series of fixed point results in rectangula...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8840964 |
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| _version_ | 1832545580356730880 |
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| author | Chaobo Li Yunan Cui Lili Chen |
| author_facet | Chaobo Li Yunan Cui Lili Chen |
| author_sort | Chaobo Li |
| collection | DOAJ |
| description | In this paper, the concept of convex rectangular b−metric spaces is introduced as a generalization of both convex metric spaces and rectangular b−metric spaces. The purpose of this study is to indicate a way of generalizing Mann’s iteration algorithm and a series of fixed point results in rectangular b−metric spaces. Furthermore, certain examples are given to support the results. We also study well posedness of fixed point problems of some mappings in convex rectangular b−metric spaces, and an application to the dynamic programming is entrusted to manifest the viability of the obtained results. Our results extend comparable results in the existing literature. |
| format | Article |
| id | doaj-art-6f4b2e1b84b947e6a0255970650ec998 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6f4b2e1b84b947e6a0255970650ec9982025-02-03T07:25:26ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8840964Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and ApplicationsChaobo Li0Yunan Cui1Lili Chen2Department of MathematicsDepartment of MathematicsCollege of Mathematics and Systems ScienceIn this paper, the concept of convex rectangular b−metric spaces is introduced as a generalization of both convex metric spaces and rectangular b−metric spaces. The purpose of this study is to indicate a way of generalizing Mann’s iteration algorithm and a series of fixed point results in rectangular b−metric spaces. Furthermore, certain examples are given to support the results. We also study well posedness of fixed point problems of some mappings in convex rectangular b−metric spaces, and an application to the dynamic programming is entrusted to manifest the viability of the obtained results. Our results extend comparable results in the existing literature.http://dx.doi.org/10.1155/2022/8840964 |
| spellingShingle | Chaobo Li Yunan Cui Lili Chen Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications Journal of Function Spaces |
| title | Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications |
| title_full | Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications |
| title_fullStr | Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications |
| title_full_unstemmed | Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications |
| title_short | Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications |
| title_sort | fixed point results on closed ball in convex rectangular b metric spaces and applications |
| url | http://dx.doi.org/10.1155/2022/8840964 |
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