Iterative Design for the Common Solution of Monotone Inclusions and Variational Inequalities

Li Wei, Xin-Wang Shen and Ravi P. Agarwal
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Li Wei: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
Xin-Wang Shen: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
Ravi P. Agarwal: Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USA

Mathematics, 2021, vol. 9, issue 13, 1-21

Abstract: Some new forward–backward multi-choice iterative algorithms with superposition perturbations are presented in a real Hilbert space for approximating common solution of monotone inclusions and variational inequalities. Some new ideas of constructing iterative elements can be found and strong convergence theorems are proved under mild restrictions, which extend and complement some already existing work.

Keywords: monotone inclusions; multi-choice iterative algorithm; ? -inversely strongly monotone operator; superposition perturbation; variational inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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