1. Existence and algorithm of solutions for generalized nonlinear variational-like inequalities
- Author
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Soo Hak Shim, Zeqing Liu, Juhe Sun, and Shin Min Kang
- Subjects
Class (set theory) ,Inequality ,Iterative method ,lcsh:Mathematics ,media_common.quotation_subject ,MathematicsofComputing_NUMERICALANALYSIS ,lcsh:QA1-939 ,Nonlinear system ,Mathematics (miscellaneous) ,Variational inequality ,Convergence (routing) ,Algorithm ,media_common ,Mathematics - Abstract
We introduce and study a new class of generalized nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of generalized nonlinear variational-like inequalities. A new iterative algorithm for finding the approximate solutions of the generalized nonlinear variational-like inequality is given and the convergence of the algorithm is also proved. The results presented in this paper improve and generalize some results in recent literature.
- Published
- 2005
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