Metric Subregularity of Composition Set-Valued Mappings with Applications to Fixed Point Theory |
| |
Authors: | Marius Durea Radu Strugariu |
| |
Institution: | 1.Faculty of Mathematics,“Alexandru Ioan Cuza” University of Ia?i,Ia?i,Romania;2.Department of Mathematics and Informatics,“Gheorghe Asachi” Technical University of Ia?i,Ia?i,Romania |
| |
Abstract: | In this paper we underline the importance of the parametric subregularity property of set-valued mappings, defined with respect to fixed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, in purely metric setting, several fixed point assertions for set-valued mappings in local and global frameworks. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|