Stability of new implicit iteration procedures for a class of nonlinear set‐valued mixed variational inequalities

Ya-Ping Fang, Chuan-xian Deng · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2003

Abstract In this paper, we develop some new implicit iteration procedures for solving a class of nonlinear set‐valued mixed variational inequalities. We also introduce a concept of stability of implicit iteration procedures and discuss the convergence and stability of the iterative sequences generated by the algorithms. The results presented in this paper extend and improve the corresponding results of Huang [11].

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