期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2006
卷号:2006
DOI:10.1155/IJMMS/2006/95723
出版社:Hindawi Publishing Corporation
摘要:We introduce and study a new class of generalized nonlinear
variational-like inequalities and prove an existence theorem of
solutions for this kind of generalized nonlinear variational-like
inequalities. By using the auxiliary principle technique, we
construct a new iterative scheme for solving the class of the
generalized nonlinear variational-like inequalities. The
convergence of the sequence generated by the iterative algorithm
is also discussed. Our results extend and unify the corresponding
results due to Ding, Liu, Ume, Kang, Yao, and others.