EURO-Online login
- New to EURO? Create an account
- I forgot my username and/or my password.
- Help with cookies
(important for IE8 users)
1564. On best proximity points
Invited abstract in session WD-41: Nonsmooth optimization algorithms II, stream Nonsmooth Optimization.
Wednesday, 14:30-16:00Room: 97 (building: 306)
Authors (first author is the speaker)
| 1. | Monica Stanciu
|
| Departament of Mathematics-Informatics, National University for Science and Technology Politehnica Bucharest |
Abstract
The aim of this contribution is to present the existence of some best proximity points for different type of operators that respect implicit type inequalities on generalized metric spaces. Those operators are defined using various classes of mappings with adequate properties of monotony, continuity or other specific inequalities.
The passing from classic metric spaces to generalized metric spaces is made by an additional condition that ensures the existence of a sequence that will converge to a best proximity point. Those points are also a part of the set of zeros for two lower semi continuous functions. Consequences related to some fixed point results are also provided.
Keywords
- Non-smooth Optimization
Status: accepted
Back to the list of papers