EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES

EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES

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 gener...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2005-08, Vol.2005 (12), p.1843-1851-143
Hauptverfasser: Liu, Zeqing, Sun, Juhe, Shim, Soo HAK, Kang, Shin MIN
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/IJMMS.2005.1843