Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings
In this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space. The existence and uniqueness of solutions have been established with the help of KKM technique and further we have proposed iterative...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mathyze Publishers
2022-08-01
|
| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/46 |
| _version_ | 1797388626289491968 |
|---|---|
| author | Sujeet Kumar Sabyasachi Pani |
| author_facet | Sujeet Kumar Sabyasachi Pani |
| author_sort | Sujeet Kumar |
| collection | DOAJ |
| description | In this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space. The existence and uniqueness of solutions have been established with the help of KKM technique and further we have proposed iterative algorithm to find the approximate solution of vector mixed variational inequality by defining an auxiliary problem. |
| first_indexed | 2024-03-08T22:43:30Z |
| format | Article |
| id | doaj.art-a9f5405372d54ff0a81827197a2218d1 |
| institution | Directory Open Access Journal |
| issn | 2832-4293 |
| language | English |
| last_indexed | 2024-03-08T22:43:30Z |
| publishDate | 2022-08-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj.art-a9f5405372d54ff0a81827197a2218d12023-12-17T09:16:13ZengMathyze PublishersPan-American Journal of Mathematics2832-42932022-08-011010.28919/cpr-pajm/1-1010Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone MappingsSujeet Kumar0Sabyasachi Pani1School of Basic Sciences IIT BhubaneswarSchool of Basic Sciences IIT Bhubaneswar Odisha, INDIAIn this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space. The existence and uniqueness of solutions have been established with the help of KKM technique and further we have proposed iterative algorithm to find the approximate solution of vector mixed variational inequality by defining an auxiliary problem.https://mathyze.com/index.php/pajm/article/view/46 |
| spellingShingle | Sujeet Kumar Sabyasachi Pani Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings Pan-American Journal of Mathematics |
| title | Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings |
| title_full | Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings |
| title_fullStr | Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings |
| title_full_unstemmed | Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings |
| title_short | Existence and Approximation of Solution for Vector Mixed Variational-Like Inequality Under Densely (η, f)-C-Pseudomonotone Mappings |
| title_sort | existence and approximation of solution for vector mixed variational like inequality under densely η f c pseudomonotone mappings |
| url | https://mathyze.com/index.php/pajm/article/view/46 |
| work_keys_str_mv | AT sujeetkumar existenceandapproximationofsolutionforvectormixedvariationallikeinequalityunderdenselyēfcpseudomonotonemappings AT sabyasachipani existenceandapproximationofsolutionforvectormixedvariationallikeinequalityunderdenselyēfcpseudomonotonemappings |