A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem
In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof. The admissibility of the function...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4488217 |
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| author | Ankit Gupta Satish Kumar Ratna Dev Sarma Pankaj Kumar Garg Reny George |
| author_facet | Ankit Gupta Satish Kumar Ratna Dev Sarma Pankaj Kumar Garg Reny George |
| author_sort | Ankit Gupta |
| collection | DOAJ |
| description | In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof. The admissibility of the function space topology and KKM-Theorem have played important role in proving the results. |
| format | Article |
| id | doaj-art-7bcd353404c7415cbcfb2bbcefe000fe |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7bcd353404c7415cbcfb2bbcefe000fe2025-08-20T02:06:54ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/44882174488217A Note on the Generalized Nonlinear Vector Variational-Like Inequality ProblemAnkit Gupta0Satish Kumar1Ratna Dev Sarma2Pankaj Kumar Garg3Reny George4Department of Mathematics, Bharati College (University of Delhi), Delhi 110058, IndiaDepartment of Mathematics, University of Delhi, Delhi 110007, IndiaDepartment of Mathematics, Rajdhani College (University of Delhi), Delhi 110015, IndiaDepartment of Mathematics, Rajdhani College (University of Delhi), Delhi 110015, IndiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaIn this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof. The admissibility of the function space topology and KKM-Theorem have played important role in proving the results.http://dx.doi.org/10.1155/2021/4488217 |
| spellingShingle | Ankit Gupta Satish Kumar Ratna Dev Sarma Pankaj Kumar Garg Reny George A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem Journal of Function Spaces |
| title | A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem |
| title_full | A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem |
| title_fullStr | A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem |
| title_full_unstemmed | A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem |
| title_short | A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem |
| title_sort | note on the generalized nonlinear vector variational like inequality problem |
| url | http://dx.doi.org/10.1155/2021/4488217 |
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