Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

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 a...

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Main Authors:	Zeqing Liu, Lin Chen, Jeong Sheok Ume, Shin Min Kang
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://dx.doi.org/10.1155/2009/758786

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spelling	doaj-83e448ca8387490c925f049792be37272020-11-24T21:53:27ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/758786Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like InequalitiesZeqing LiuLin ChenJeong Sheok UmeShin Min KangWe 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. http://dx.doi.org/10.1155/2009/758786
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zeqing Liu Lin Chen Jeong Sheok Ume Shin Min Kang
spellingShingle	Zeqing Liu Lin Chen Jeong Sheok Ume Shin Min Kang Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities Journal of Inequalities and Applications
author_facet	Zeqing Liu Lin Chen Jeong Sheok Ume Shin Min Kang
author_sort	Zeqing Liu
title	Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
title_short	Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
title_full	Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
title_fullStr	Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
title_full_unstemmed	Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
title_sort	auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2009-01-01
description	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.
url	http://dx.doi.org/10.1155/2009/758786
work_keys_str_mv	AT zeqingliu auxiliaryprincipleforgeneralizedstronglynonlinearmixedvariationallikeinequalities AT linchen auxiliaryprincipleforgeneralizedstronglynonlinearmixedvariationallikeinequalities AT jeongsheokume auxiliaryprincipleforgeneralizedstronglynonlinearmixedvariationallikeinequalities AT shinminkang auxiliaryprincipleforgeneralizedstronglynonlinearmixedvariationallikeinequalities
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Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

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