Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

被引：0
作者：
Zeqing Liu
Lin Chen
Jeong Sheok Ume
Shin Min Kang
机构：
[1] Liaoning Normal University,Department of Mathematics
[2] Changwon National University,Department of Applied Mathematics
[3] Gyeongsang National University,Department of Mathematics, Research Institute of Natural Science
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
Hilbert Space; Variational Inequality; Iterative Algorithm; Inequality Problem; Real Hilbert Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases. By applying the auxiliary principle technique and KKM theory, we suggest an iterative algorithm for solving the generalized strongly nonlinear mixed variational-like inequality. The existence of solutions and convergence of sequence generated by the algorithm for the generalized strongly nonlinear mixed variational-like inequalities are obtained. The results presented in this paper extend and unify some known results.
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