ncku-talk2012-05-03

NCTS(South)/ NCKU Math Colloquium

DATE 2012-05-03　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Wataru Takahashi（Tokyo Institute of Technology, Japan and National Sun Yat-sen University, Taiwan）

TITLE Fixed Point and Mean Convergence Theorems without Convexity and Related Topics

ABSTRACT In this talk, we introduce a new concept of attractive points instead of fixed points of a mapping in a Hilbert space and a Banach space. Then we obtain some fundamental properties for the points. Using these results, we prove attractive point and mean convergence theorems without convexity for a class of mappings which contains the class of nonexpansive mappings. These results generalize well-known fixed point theorems and mean convergence theorems. We also obtain some results which are related to attractive points.

NCTS(South)/ NCKU Math Colloquium

DATE	2012-05-03　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Wataru Takahashi（Tokyo Institute of Technology, Japan and National Sun Yat-sen University, Taiwan）

TITLE	Fixed Point and Mean Convergence Theorems without Convexity and Related Topics

ABSTRACT	In this talk, we introduce a new concept of attractive points instead of fixed points of a mapping in a Hilbert space and a Banach space. Then we obtain some fundamental properties for the points. Using these results, we prove attractive point and mean convergence theorems without convexity for a class of mappings which contains the class of nonexpansive mappings. These results generalize well-known fixed point theorems and mean convergence theorems. We also obtain some results which are related to attractive points.