اخبار و اعلانات
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 550 |
| تعداد مقالات | 5,698 |
| تعداد مشاهده مقاله | 7,967,069 |
| تعداد دریافت فایل اصل مقاله | 5,349,973 |
Fuzzy Vector Equilibrium Problem | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 12، شماره 1، بهار 2015، صفحه 115-122 اصل مقاله (329.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.1865 | ||
| نویسندگان | ||
Mijanur Rahaman  1؛ Rais Ahmad2
| ||
| 1Department of Mathematics, Aligarh Muslim University, Aligarh- 202002, India | ||
| 2Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India | ||
| چکیده | ||
| In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems in $H$-spaces and equilibrium points of abstract economies, J. Aust. Math. Soc.(Series A), 53(1992), 252-260]. An example is also constructed in support of fuzzy vector equilibrium problem. | ||
| کلیدواژه‌ها | ||
| Equilibrium؛ Upper semicontinuity؛ Fuzzy mapping؛ $H$-space | ||
| مراجع | ||
|
[1] C. Bardaro and R. Cappitelli, Some further generalizations of the Knaster-Kuratowski- Mazukiewicz theorem and minimax inequalities, Journal of Mathematical Analysis and Ap- plications, 132 (1988), 484-490. [2] A. Borglin and H. Keiding, Existence of equilibrium actions and of equilibrium: A note on the new existence theorems, Journal of Mathematical Economics, 3(3) (1976), 313-316. [3] S. S. Chang and K. K. Tan, Equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games, Fuzzy Sets and Systems, 125(3) (2002), 389-399. [4] B. S. Choudhury and S. Kundu, A viscosity type iteration by weak contraction for approx- imating solutions of generalized equilibrium problem, Journal of Nonlinear Science and Ap- plications, Special issue, 5(3) (2012), 243-251. [5] G. Debreu, A social equilibrium existence theorem, Proc. National Academy of Sciences, U.S.A., 38 (1952), 886-893. [6] X. P. Ding, Maximal element theorems in product FC-spaces and generalized games, Journal of Mathematical Analysis and Applications, 305(1) (2005), 29-42. [7] A. Khaliq and S. Krishnan, Vector quasi-equilibrium problems, Bulletin of the Australian Mathematical Society, 68(2) (2009), 295-302. [8] W. K. Kim and K. H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301. [9] W. K. Kim and K. H. Lee, Fuzzy xed point and existence of equilibria of fuzzy games, The Journal of Fuzzy Mathematics, 6 (1998), 193-202. [10] J. S. Pang and M. Fukushima, Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games, Computational Management Science, 2(1) (2005), 21-56. [11] E. Tarafdar, Fixed point theorems in H-spaces and equilibrium points of abstract economies, Journal of the Australian Mathematical Society (Series A), 53 (1992), 252-260. [12] G. Tian, On the existence of equilibria in generalized games,International Journal of Game Theory, 20(3) (1992), 247-254. [13] G. Tian, Equilibrium in abstract economies with a non-compact in nite dimensional strategy space, an in nite number of agents and without ordered preferences, Economics Letters, 33 (1990), 203-206. [14] U. Witthayarat, Y. J. Cho and P. Kumam, Approximation algorithm for xed points of nonlinear operators and solutions of mixed equilibrium problems and variational inclusion problems with applications, Journal of Nonlinear Science and Applications, Special issue, 5(6) (2012), 475-494. [15] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. [16] H. J. Zimmermann, Fuzzy set theory and its applications, Kluwer Academic Publishers, Dor- drecht, 1988. | ||
|
آمار تعداد مشاهده مقاله: 1,894 تعداد دریافت فایل اصل مقاله: 1,402 |
||
