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

Lu-Chuan Ceng, Mihai Postolache, Ching-Feng Wen and Yonghong Yao
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Lu-Chuan Ceng: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
Mihai Postolache: Center for General Education, China Medical University, Taichung 40402, Taiwan
Ching-Feng Wen: Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan
Yonghong Yao: School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China

Mathematics, 2019, vol. 7, issue 3, 1-20

Abstract: 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.

Keywords: extragradient-like method; minimization problem; variational inclusion; generalized mixed equilibrium problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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