| Article ID: | iaor20128243 |
| Volume: | 155 |
| Issue: | 3 |
| Start Page Number: | 785 |
| End Page Number: | 795 |
| Publication Date: | Dec 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Nazemi Sayyedeh |
| Keywords: | Banach space, Lipschitz continuity, mapping |
In this paper, we introduce and study a new class of variational inclusions in Banach spaces. As it concerns the methods of solution, we introduce a new class of monotone mappings. We define a proximal mapping associated with this mappings and show its Lipschitz continuity. By using the technique of proximal mapping, we construct a new iterative algorithm. Under some suitable conditions, we prove the convergence of iterative sequences generated by the algorithm. Our results improve and generalize many known results.