In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdörff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.
| Published in | American Journal of Applied Mathematics (Volume 9, Issue 1) |
| DOI | 10.11648/j.ajam.20210901.13 |
| Page(s) | 16-19 |
| 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 |
Operator Quasi-equilibrium Problem, C(f)-quasiconvex, Escaping Sequence
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APA Style
Abdul Raouf, Rajesh Kumar Gupta, Shivani Sharma. (2021). A Class of Generalized Operator Quasi-Equilibrium Problems. American Journal of Applied Mathematics, 9(1), 16-19. https://doi.org/10.11648/j.ajam.20210901.13
ACS Style
Abdul Raouf; Rajesh Kumar Gupta; Shivani Sharma. A Class of Generalized Operator Quasi-Equilibrium Problems. Am. J. Appl. Math. 2021, 9(1), 16-19. doi: 10.11648/j.ajam.20210901.13
AMA Style
Abdul Raouf, Rajesh Kumar Gupta, Shivani Sharma. A Class of Generalized Operator Quasi-Equilibrium Problems. Am J Appl Math. 2021;9(1):16-19. doi: 10.11648/j.ajam.20210901.13
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Download@article{10.11648/j.ajam.20210901.13,
author = {Abdul Raouf and Rajesh Kumar Gupta and Shivani Sharma},
title = {A Class of Generalized Operator Quasi-Equilibrium Problems},
journal = {American Journal of Applied Mathematics},
volume = {9},
number = {1},
pages = {16-19},
doi = {10.11648/j.ajam.20210901.13},
url = {https://doi.org/10.11648/j.ajam.20210901.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210901.13},
abstract = {In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdörff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.},
year = {2021}
}
TY - JOUR T1 - A Class of Generalized Operator Quasi-Equilibrium Problems AU - Abdul Raouf AU - Rajesh Kumar Gupta AU - Shivani Sharma Y1 - 2021/03/26 PY - 2021 N1 - https://doi.org/10.11648/j.ajam.20210901.13 DO - 10.11648/j.ajam.20210901.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 16 EP - 19 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20210901.13 AB - In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdörff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area. VL - 9 IS - 1 ER -
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