On Solvability of a Generalized Nonlinear Variational-Like Inequality

被引：0
作者：
Zeqing Liu
Pingping Zheng
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, The Research Institute of Natural Science
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
Variational Inequality; Iterative Algorithm; Iterative Scheme; Contraction Mapping; Real Hilbert Space;
D O I：
暂无
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学科分类号：
摘要：
A new generalized nonlinear variational-like inequality is introduced and studied. By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generalized nonlinear variational-like inequality. By means of the Banach fixed-point theorem, we establish the existence and uniqueness of solution for the generalized nonlinear variational-like inequality. The convergence of the sequence generated by the iterative algorithm is also discussed.
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