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Stability of new implicit iteration procedures for a class of nonlinear set‐valued mixed variational inequalities
Author(s) -
Fang Y.p.,
Deng C.x.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410038
Subject(s) - convergence (economics) , class (philosophy) , stability (learning theory) , mathematics , variational inequality , nonlinear system , set (abstract data type) , iterative method , mathematical optimization , computer science , artificial intelligence , physics , quantum mechanics , machine learning , economics , programming language , economic growth
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].