| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841197 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 8 Pages |
Abstract
Usually, results on ϕϕ-strongly accretive operators involve various assumptions on the function ϕϕ, such as continuity, being positive, and/or being strictly increasing. However, by redefining this function, we are able to eliminate all these additional assumptions, and leave only the positiveness condition: ϕ(t)>0ϕ(t)>0 for t>0t>0. This fact allows us to extend a theorem of Deimling and obtain a general result for the solvability of a variational inequality for ϕϕ-strongly pseudo-contractive mappings.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Claudio H. Morales,