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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Zhong Bao Ding, Xie Ping |
| Copyright Year | 2009 |
| Abstract | In this paper, we introduce and study a new system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems and its related auxiliary problems in reflexive Banach spaces. The auxiliary principle technique is applied to study the existence and iterative algorithm of solutions for the system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems. Firstly, we prove the existence and uniqueness of solutions of the auxiliary problems for the system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems. Secondly, an iterative algorithm for solving the system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems is constructed by using this existence and uniqueness result. Finally, we show the existence of solutions of the system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems and discuss the convergence analysis of this algorithm. These results improve, unify and generalize many corresponding known results given in literatures. |
| Starting Page | 209 |
| Ending Page | 225 |
| Page Count | 17 |
| File Format | |
| ISSN | 15985865 |
| Journal | Journal of Applied Mathematics and Computing |
| Volume Number | 33 |
| Issue Number | 1-2 |
| e-ISSN | 18652085 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2009-05-05 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | System of generalized set-valued strongly nonlinear mixed variational-like inequalities problems Auxiliary principle Iterative algorithm Reflexive Banach spaces Variational methods including variational inequalities Methods involving semicontinuity and convergence; relaxation Mathematics of Computing Theory of Computation ApplicationMathematics/Computational Methods of Engineering Computational Mathematics and Numerical Analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computational Mathematics |
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