FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES
This article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial 𝑏-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings.
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2025-01-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16990&lang=en |
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| author | A. Gupta R. Mansotra |
| author_facet | A. Gupta R. Mansotra |
| author_sort | A. Gupta |
| collection | DOAJ |
| description | This article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial 𝑏-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings. |
| format | Article |
| id | doaj-art-10e4d194586a412c8af7b78dc318fbcd |
| institution | Kabale University |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-10e4d194586a412c8af7b78dc318fbcd2025-08-20T03:44:35ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322025-01-0114 (32)110711810.15393/j3.art.2025.16990FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACESA. Gupta0R. Mansotra1Department of Mathematics Delhi College of Arts and CommerceDepartment of Mathematics Faculty of Mathematical sciences University of DelhiThis article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial 𝑏-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16990&lang=enpartial 𝑏-metric spaceinterpolative boyd-wong con- tractioninterpolative matkowski contractionfixed point |
| spellingShingle | A. Gupta R. Mansotra FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES Проблемы анализа partial 𝑏-metric space interpolative boyd-wong con- traction interpolative matkowski contraction fixed point |
| title | FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES |
| title_full | FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES |
| title_fullStr | FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES |
| title_full_unstemmed | FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES |
| title_short | FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES |
| title_sort | fixed point theorems using interpolative boyd wong type contractions and interpolative matkowski type contractions on partial 𝑏 metric spaces |
| topic | partial 𝑏-metric space interpolative boyd-wong con- traction interpolative matkowski contraction fixed point |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16990&lang=en |
| work_keys_str_mv | AT agupta fixedpointtheoremsusinginterpolativeboydwongtypecontractionsandinterpolativematkowskitypecontractionsonpartialbmetricspaces AT rmansotra fixedpointtheoremsusinginterpolativeboydwongtypecontractionsandinterpolativematkowskitypecontractionsonpartialbmetricspaces |