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**Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities.**
*(English)*
Zbl 1081.49011

Summary: A class of completely generalized set-valued strongly nonlinear mixed variational-like inequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class is shown. The iterative algorithm for this class is given by virtue of this existence result. Moreover, the existence of a solution and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some earlier and recent ones presented in the literature.

### Keywords:

mixed variational-like inequality; set-valued mapping; auxiliary principle technique; iterative algorithm
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\textit{L.-C. Zeng} et al., Comput. Math. Appl. 50, No. 5--6, 935--945 (2005; Zbl 1081.49011)

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### References:

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