Stability of new implicit iteration procedures for a class of nonlinear set-valued mixed variational inequalities. (English) Zbl 1033.49009

Fang, Ya-ping; Deng, Chuan-xian

ZAMM, Z. Angew. Math. Mech. 84, No. 1, 53-59 (2004).

Summary: 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 N.-J. Huang [ZAMM, Z. Angew. Math. Mech. 78, 427–430 (1998; Zbl 0901.49009)].

MSC:

49J40	Variational inequalities
65K05	Numerical mathematical programming methods
49J53	Set-valued and variational analysis

Keywords:

nonlinear set-valued mixed variational inequalities; iterative algorithms; stability; convergence

Citations:

Zbl 0901.49009