On stationary points of nonexpansive set-valued mappings

Fixexd point theory and applications

Rafa Espí¹  nola³  Kourosh Nourouzi⁴  Meraj Hosseini⁵ 

[1] Dpto. de AnáFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran;lisis Matemático de la Universidad de Sevilla), Universidad de Sevilla, Sevilla, Spain;tico, IMUS (Instituto Matemá

关键词: stationary point;    nonexpansive set-valued mapping;    approximate stationary sequence;    normal structure;    weakly compact set;    54C60;    47H09;   

DOI  :  10.1186/s13663-015-0481-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of approximate stationary sequences. In particular we provide abstract extensions of well-known fixed point theorems.

【 授权许可】

CC BY