Variational Inequalities Approaches to Minimization Problems with Constraints of Generalized Mixed Equilibria and Variational Inclusions

Mathematics

Ching-Feng Wen¹  Mihai Postolache²  Lu-Chuan Ceng³  Yonghong Yao⁴ 

[1] Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan;Center for General Education, China Medical University, Taichung 40402, Taiwan;Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China;

关键词: extragradient-like method;    minimization problem;    variational inclusion;    generalized mixed equilibrium problem;   

DOI  :  10.3390/math7030270

来源: DOAJ

【 摘 要 】

Multistep composite implicit and explicit extragradient-like schemes are presented for solving the minimization problem with the constraints of variational inclusions and generalized mixed equilibrium problems. Strong convergence results of introduced schemes are given under suitable control conditions.

【 授权许可】

Unknown