Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space
In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuz...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9561906 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553675405393920 |
|---|---|
| author | Mohamed Altanji Annamalai Santhi Vediyappan Govindan Shyam Sundar Santra Samad Noeiaghdam |
| author_facet | Mohamed Altanji Annamalai Santhi Vediyappan Govindan Shyam Sundar Santra Samad Noeiaghdam |
| author_sort | Mohamed Altanji |
| collection | DOAJ |
| description | In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces. |
| format | Article |
| id | doaj-art-45520ef1c1de420aa146694c6dd3a98d |
| 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-45520ef1c1de420aa146694c6dd3a98d2025-02-03T05:53:30ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9561906Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric SpaceMohamed Altanji0Annamalai Santhi1Vediyappan Govindan2Shyam Sundar Santra3Samad Noeiaghdam4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIndustrial Mathematics LaboratoryIn this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.http://dx.doi.org/10.1155/2022/9561906 |
| spellingShingle | Mohamed Altanji Annamalai Santhi Vediyappan Govindan Shyam Sundar Santra Samad Noeiaghdam Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space Journal of Function Spaces |
| title | Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space |
| title_full | Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space |
| title_fullStr | Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space |
| title_full_unstemmed | Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space |
| title_short | Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space |
| title_sort | fixed point results related to b intuitionistic fuzzy metric space |
| url | http://dx.doi.org/10.1155/2022/9561906 |
| work_keys_str_mv | AT mohamedaltanji fixedpointresultsrelatedtobintuitionisticfuzzymetricspace AT annamalaisanthi fixedpointresultsrelatedtobintuitionisticfuzzymetricspace AT vediyappangovindan fixedpointresultsrelatedtobintuitionisticfuzzymetricspace AT shyamsundarsantra fixedpointresultsrelatedtobintuitionisticfuzzymetricspace AT samadnoeiaghdam fixedpointresultsrelatedtobintuitionisticfuzzymetricspace |