Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs
We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed...
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2020-03-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/16 |
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| author | S. K. Mohanta R. Kar |
| author_facet | S. K. Mohanta R. Kar |
| author_sort | S. K. Mohanta |
| collection | DOAJ |
| description | We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed point theorem for multi-valued mappings. Moreover, we give some examples to justify the validity of our main result. |
| format | Article |
| id | doaj-art-407b2d9994db4a3bb49af898d35f98e9 |
| institution | Kabale University |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2020-03-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-407b2d9994db4a3bb49af898d35f98e92025-08-20T03:33:15ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-03-01531698410.30970/ms.53.1.69-8416Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphsS. K. Mohanta0R. Kar1Department of Mathematics, West Bengal State University, Barasat, Kolkata-700126, IndiaDepartment of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, IndiaWe introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed point theorem for multi-valued mappings. Moreover, we give some examples to justify the validity of our main result.http://matstud.org.ua/ojs/index.php/matstud/article/view/16b-metric, digraph, generalized f − g-contractions, coincidence point |
| spellingShingle | S. K. Mohanta R. Kar Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs Математичні Студії b-metric, digraph, generalized f − g-contractions, coincidence point |
| title | Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs |
| title_full | Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs |
| title_fullStr | Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs |
| title_full_unstemmed | Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs |
| title_short | Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs |
| title_sort | some new coincidence point results for single valued and multi valued mappings in b metric spaces via digraphs |
| topic | b-metric, digraph, generalized f − g-contractions, coincidence point |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/16 |
| work_keys_str_mv | AT skmohanta somenewcoincidencepointresultsforsinglevaluedandmultivaluedmappingsinbmetricspacesviadigraphs AT rkar somenewcoincidencepointresultsforsinglevaluedandmultivaluedmappingsinbmetricspacesviadigraphs |