On Some Common Fixed Point Results for Weakly Contraction Mappings with Application
In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5573983 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561265952686080 |
|---|---|
| author | Yan Hao Hongyan Guan |
| author_facet | Yan Hao Hongyan Guan |
| author_sort | Yan Hao |
| collection | DOAJ |
| description | In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature. |
| format | Article |
| id | doaj-art-1298b20fc5ad44b18822475a79a200ea |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1298b20fc5ad44b18822475a79a200ea2025-02-03T01:25:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55739835573983On Some Common Fixed Point Results for Weakly Contraction Mappings with ApplicationYan Hao0Hongyan Guan1School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, ChinaSchool of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, ChinaIn this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature.http://dx.doi.org/10.1155/2021/5573983 |
| spellingShingle | Yan Hao Hongyan Guan On Some Common Fixed Point Results for Weakly Contraction Mappings with Application Journal of Function Spaces |
| title | On Some Common Fixed Point Results for Weakly Contraction Mappings with Application |
| title_full | On Some Common Fixed Point Results for Weakly Contraction Mappings with Application |
| title_fullStr | On Some Common Fixed Point Results for Weakly Contraction Mappings with Application |
| title_full_unstemmed | On Some Common Fixed Point Results for Weakly Contraction Mappings with Application |
| title_short | On Some Common Fixed Point Results for Weakly Contraction Mappings with Application |
| title_sort | on some common fixed point results for weakly contraction mappings with application |
| url | http://dx.doi.org/10.1155/2021/5573983 |
| work_keys_str_mv | AT yanhao onsomecommonfixedpointresultsforweaklycontractionmappingswithapplication AT hongyanguan onsomecommonfixedpointresultsforweaklycontractionmappingswithapplication |