Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory
In this paper, we introduce the concept of ordered uniform convexity in ordered convex metric spaces and study some properties of order uniform convexity. Finally, as application, we connect our results with existence of fixed points for monotone non-expansive mappings defined on these spaces.
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8237943 |
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| _version_ | 1832562509529219072 |
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| author | Ismat Beg |
| author_facet | Ismat Beg |
| author_sort | Ismat Beg |
| collection | DOAJ |
| description | In this paper, we introduce the concept of ordered uniform convexity in ordered convex metric spaces and study some properties of order uniform convexity. Finally, as application, we connect our results with existence of fixed points for monotone non-expansive mappings defined on these spaces. |
| format | Article |
| id | doaj-art-ff7f191a58df4318a72f2cdc1c7196bc |
| 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-ff7f191a58df4318a72f2cdc1c7196bc2025-02-03T01:22:28ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8237943Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point TheoryIsmat Beg0Department of Mathematics and Statistical SciencesIn this paper, we introduce the concept of ordered uniform convexity in ordered convex metric spaces and study some properties of order uniform convexity. Finally, as application, we connect our results with existence of fixed points for monotone non-expansive mappings defined on these spaces.http://dx.doi.org/10.1155/2022/8237943 |
| spellingShingle | Ismat Beg Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory Journal of Function Spaces |
| title | Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory |
| title_full | Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory |
| title_fullStr | Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory |
| title_full_unstemmed | Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory |
| title_short | Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory |
| title_sort | ordered uniform convexity in ordered convex metric spaces with an application to fixed point theory |
| url | http://dx.doi.org/10.1155/2022/8237943 |
| work_keys_str_mv | AT ismatbeg ordereduniformconvexityinorderedconvexmetricspaceswithanapplicationtofixedpointtheory |