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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Main Author: Ismat Beg
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/8237943
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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
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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