Author(s):  
Bernardo Carreón-Calderón ◽  
Verónica Uribe-Vargas ◽  
Juan Pablo Aguayo

Axioms ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 137
Author(s):  
Wiyada Kumam ◽  
Kanikar Muangchoo

A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium. Most of the methods used to solve equilibrium problems involve iterative methods, which is why the aim of this article is to establish a new iterative method by incorporating an inertial term with a subgradient extragradient method to solve the problem of equilibrium, which includes a bifunction that is strongly pseudomonotone and meets the Lipschitz-type condition in a real Hilbert space. Under certain mild conditions, a strong convergence theorem is proved, and a required sequence is generated without the information of the Lipschitz-type cost bifunction constants. Thus, the method operates with the help of a slow-converging step size sequence. In numerical analysis, we consider various equilibrium test problems to validate our proposed results.


2013 ◽  
Vol 52 (50) ◽  
pp. 17773-17780 ◽  
Author(s):  
Jing Guo ◽  
Danxing Zheng ◽  
Xiaohui Chen ◽  
Yue Mi ◽  
Zhenyu Liu

2017 ◽  
Vol 153 ◽  
pp. 641-648 ◽  
Author(s):  
Jun Han ◽  
Yan Liang ◽  
Jin Hu ◽  
Linbo Qin ◽  
Jason Street ◽  
...  

1988 ◽  
Vol 43 (8) ◽  
pp. 1837-1841 ◽  
Author(s):  
Said Saim ◽  
Bala Subramaniam

1993 ◽  
Vol 14 (2) ◽  
pp. 199-213 ◽  
Author(s):  
I. G. Economou ◽  
M. D. Donohue ◽  
L. W. Hunter

Sign in / Sign up

Export Citation Format

Share Document