| Article ID: | iaor20132840 |
| Volume: | 157 |
| Issue: | 2 |
| Start Page Number: | 324 |
| End Page Number: | 346 |
| Publication Date: | May 2013 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Yao J -C, Ahmad R, Akram M |
| Keywords: | calculus of variations |
The aim of this paper is to define a generalized monotone mapping, which is the sum of symmetric cocoercive mapping and symmetric monotone mapping. The resolvent operator associated with generalized monotone mapping is defined and some of its properties are shown. We solve a variational inclusion problem using these new concepts. For illustration, some examples are given.