Abstract
A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities 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 of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.
Original language | English |
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Pages (from-to) | 935-945 |
Number of pages | 11 |
Journal | Computers and Mathematics with Applications |
Volume | 50 |
Issue number | 5-6 |
DOIs | |
State | Published - 09 2005 |
Externally published | Yes |
Keywords
- Auxiliary principle technique
- Iterative algorithm
- Mixed variational-like inequality
- Set-valued mapping