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Existence results for common solution of equilibrium and vector equilibrium problems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1109-1120 اصل مقاله (365.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23489.2547 | ||
| نویسندگان | ||
| Sirous Moradi* 1؛ Milad Firozeh2 | ||
| 1Department of Mathematics, Faculty of Science, Lorestan University, 68151-4-4316, Khorramabad, Iran | ||
| 2Department of Mathematics, Faculty of Science, Arak University, Arak, Iran | ||
| تاریخ دریافت: 04 فروردین 1400، تاریخ پذیرش: 19 خرداد 1400 | ||
| چکیده | ||
| In this paper, by using the notion of locally segment-dense subsets and sequentially sign property for bifunctions, we establish existence results for a common solution of a finite family of equilibrium problems in the setting of Hausdorff locally convex topological vector spaces. Also similar results obtain for vector equilibrium problems. | ||
| کلیدواژهها | ||
| Equilibrium problem؛ Common solution؛ Locally segment-dense؛ Sequentially sign property | ||
| مراجع | ||
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[1] B. Alleche and V. D. Radulescu, Set-valued equilibrium problemswith applications to Browder variational inclusions and to fixed point theory, Nonlinear Anal. Real World Appl. 28 (2016) 251–268. [2] QH. Ansari, AP. Farajzadeh and S. Schaible, Existence of solutions of strong vector equilibrium problems, Taiwanese J. Math. 16 (2012) 165–178. [3] D. Aussel and N. Hadjisavvas, On quasimonotone variational inequalities, J. Optim. Theory Appl. 121 (2004) 445–450. [4] M. Bianchi and R. Pini, A note on equilibrium problems with properly quasimonotone bifunctions, J. Glob. Optim. 20 (2001) 67–76. [5] M. Bianchi and R. Pini, Coercivity conditions for equilibrium problems, J. Optim. Theory Appl. 124 (2005) 79–92. [6] G. Bigi, M. Castellani and G. Kassay, A dual view of equilibrium problems, J. Math. Anal. Appl. 342 (2008) 17–26. [7] E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. Student 63 (1994) 123–145. [8] R. Burachik and G. Kassay, On a generalized proximal point method for solving equilibrium problems in Banach spaces, Nonlinear Anal. 75 (2012) 6456–6464. [9] M. Castellani and M. Giuli, Refinements of existence results for relaxed quasimonotone equilibrium problem, J. Glob. Optim. 57 (2013) 1213–1227. [10] F. Facchinei and JS. Pang, Finite-dimensional Variational Inequalities and Complementarity Problems, Springer Science and Business Media, 2007. [11] K. Fan, A generalization of Tychonoff ’s fixed point theorem, Math. Ann. 142 (1961) 305–310. [12] A. Farajzadeh and J. Zafarani, Equilibrium problems and variational inequalities in topological vector spaces, Optim. 59 (2010) 485–499. [13] S. Jafari and A. Farajzadeh, Existence results for equilibrium problems under strong sign property, Int. J. Nonlinear Anal. Appl. 8(1) (2017) 165–176. [14] S. Jafari, A. Farajzadeh and S. Moradi, Locally densely defined equilibrium problems, J. Optim. Theory Appl. 170 (2016) 804–817. [15] J. Jahn J, Vector Optimization, Springer, Berlin, 2009. [16] DV. Hieu, Common solutions to pseudomonotone equilibrium problems, Bull. Iran. Math. Soc. 42 (2016) 1207–1219. [17] DV. Hieu, New subgradient extragradient methods for common solutions to equilibrium problems, Comput. Optim. Appl. 67 (2017) 571–594. [18] DV. Hieu, Hybrid projection methods for equilibrium problems with non-Lipschitz type bifunctions, Math. Meth. Appl. Sci. 40 (2017) 4065–4079. [19] S. Laszlo and A. Viorel, Densely defined equilibrium problems, J. Optim. Theory Appl. 166 (2015) 52–75. [20] DT. Luc, Existence results for densely pseudomonotone variational inequalities, J. Math. Anal. Appl. 254 (2001) 291–308. [21] MA. Mansour, A. Metrane and M. Thera, Lower semicontinuous regularization for vector-valued mappings, J. Global Optim. 35 (2006) 283–309. [22] G. Mastroeni, Gap functions for equilibrium problems, J. Global Optim. 27 (2003) 411–426. [23] T. Nguyen Xuan and T. Phan Nhat, On the existence of equilibrium points of vector functions, Numer. Funct. Anal. Optim. 19 (1998) 141–156. [24] M. Shokouhnia, S. Moradi and S. Jafari, Optimally local dense conditions for the existence of solutions for vector equilibrium problems, Int. J. Nonlinear Anal. Appl. 10(1) (2020) 15–26. [25] T. Tanaka, Generalized semicontinuity and existence theorems for cone saddle points, Appl. Math. Optim. 36 (1997) 313–322. | ||
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