Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities | Zendy

Zeqing Liu | Zendy; Chen Lin | Zendy; Jeong Sheok Ume | Zendy; Shin Min Kang | Zendy

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Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

Author(s) -

Zeqing Liu,

Chen Lin,

Jeong Sheok Ume,

Shin Min Kang

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/758786

Subject(s) - mathematics , variational inequality , nonlinear system , convergence (economics) , class (philosophy) , sequence (biology) , variational principle , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence , biology , economics , genetics , economic growth

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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