Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
<p/> <p>We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/237191 |
| _version_ | 1819058338021769216 |
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| author | Cho YeolJe Chowdhury MohammadSR |
| author_facet | Cho YeolJe Chowdhury MohammadSR |
| author_sort | Cho YeolJe |
| collection | DOAJ |
| description | <p/> <p>We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these results on GBQVI for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators, we use Chowdhury and Tan's generalized version (1996) of Ky Fan's minimax inequality (1972) as the main tool.</p> |
| first_indexed | 2024-12-21T13:53:36Z |
| format | Article |
| id | doaj.art-7144c0f2c8d44675a0829f0c5a30eb2c |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-21T13:53:36Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-7144c0f2c8d44675a0829f0c5a30eb2c2022-12-21T19:01:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101237191Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact SetsCho YeolJeChowdhury MohammadSR<p/> <p>We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these results on GBQVI for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators, we use Chowdhury and Tan's generalized version (1996) of Ky Fan's minimax inequality (1972) as the main tool.</p>http://www.journalofinequalitiesandapplications.com/content/2010/237191 |
| spellingShingle | Cho YeolJe Chowdhury MohammadSR Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets Journal of Inequalities and Applications |
| title | Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets |
| title_full | Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets |
| title_fullStr | Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets |
| title_full_unstemmed | Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets |
| title_short | Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets |
| title_sort | generalized bi quasivariational inequalities for quasi pseudomonotone type ii operators on noncompact sets |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/237191 |
| work_keys_str_mv | AT choyeolje generalizedbiquasivariationalinequalitiesforquasipseudomonotonetypeiioperatorsonnoncompactsets AT chowdhurymohammadsr generalizedbiquasivariationalinequalitiesforquasipseudomonotonetypeiioperatorsonnoncompactsets |