4.7 Article

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

Journal

MATHEMATICS
Volume 7, Issue 3, Pages -

Publisher

MDPI
DOI: 10.3390/math7030270

Keywords

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

Categories

Funding

  1. Innovation Program of Shanghai Municipal Education Commission [15ZZ068]
  2. Program Foundation of Ministry of Education of China [20123127110002]
  3. Program for Outstanding Academic Leaders in Shanghai City [15XD1503100]

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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.

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