Existence and algorithm of solutions for generalized nonlinear variational-like inequalities

Zeqing Liu, Juhe Sun, Soo Hak Shim and Shin Min Kang

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-9

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:635213

DOI: 10.1155/IJMMS.2005.1843

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