In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Chowdhury and Tan’s generalized version [1] of Ky Fan’s minimax inequality [2] as the main tool.
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American Journal of Applied Mathematics (Volume 3, Issue 3-1)
This article belongs to the Special Issue Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015) |
| DOI | 10.11648/j.ajam.s.2015030301.18 |
| Page(s) | 46-53 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Generalized Quasi-Variational Inequalities, Pseudo-Monotone Type III Operators, Locally Convex Topological Vector Spaces
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| [2] | K. Fan, A minimax inequality and applications, in “Inequalities, III” (O. Shisha, Ed.), pp.103-113, Academic Press, San Diego, 1972. |
| [3] | D. Chan and J. S. Pang, The generalized quasi-variational inequality problem, Math. Oper. Res. 7(1982), 211-222. |
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APA Style
Mohammad S. R. Chowdhury, Yeol Je Cho. (2015). Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets. American Journal of Applied Mathematics, 3(3-1), 46-53. https://doi.org/10.11648/j.ajam.s.2015030301.18
ACS Style
Mohammad S. R. Chowdhury; Yeol Je Cho. Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets. Am. J. Appl. Math. 2015, 3(3-1), 46-53. doi: 10.11648/j.ajam.s.2015030301.18
AMA Style
Mohammad S. R. Chowdhury, Yeol Je Cho. Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets. Am J Appl Math. 2015;3(3-1):46-53. doi: 10.11648/j.ajam.s.2015030301.18
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Download@article{10.11648/j.ajam.s.2015030301.18,
author = {Mohammad S. R. Chowdhury and Yeol Je Cho},
title = {Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {3-1},
pages = {46-53},
doi = {10.11648/j.ajam.s.2015030301.18},
url = {https://doi.org/10.11648/j.ajam.s.2015030301.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.s.2015030301.18},
abstract = {In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Chowdhury and Tan’s generalized version [1] of Ky Fan’s minimax inequality [2] as the main tool.},
year = {2015}
}
TY - JOUR T1 - Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets AU - Mohammad S. R. Chowdhury AU - Yeol Je Cho Y1 - 2015/06/17 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.s.2015030301.18 DO - 10.11648/j.ajam.s.2015030301.18 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 46 EP - 53 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.s.2015030301.18 AB - In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Chowdhury and Tan’s generalized version [1] of Ky Fan’s minimax inequality [2] as the main tool. VL - 3 IS - 3-1 ER -
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