Auxiliary principle for generalized nonlinear variational-like inequalities
We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like inequalities. By using the auxiliary principle technique, we construct a new iterative scheme for solving the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/95723 |
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| Summary: | We introduce and study a new class of generalized nonlinear
variational-like inequalities and prove an existence theorem of
solutions for this kind of generalized nonlinear variational-like
inequalities. By using the auxiliary principle technique, we
construct a new iterative scheme for solving the class of the
generalized nonlinear variational-like inequalities. The
convergence of the sequence generated by the iterative algorithm
is also discussed. Our results extend and unify the corresponding
results due to Ding, Liu, Ume, Kang, Yao, and others. |
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| ISSN: | 0161-1712 1687-0425 |