ncku-talk2012-10-31

NCTS(South)/ NCKU Math Colloquium

DATE 2012-10-31　15:00-16:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Professor Wataru Takahashi（Tokyo Institute of Technology）

TITLE Iterative Common Solutions for Monotone Inclusion Problems, Fixed Point Problems and Equilibrium Problems and Applications

ABSTRACT In this talk, we prove strong convergence theorems for finding a common point of the set of zero points of the addition of an inverse-strongly monotone mapping and a maximal monotone operator and the set of zero points of a maximal monotone operator which is related to an equilibrium problem in a Hilbert space. As applications of the results, we present well-known and new strong convergence theorems which are connected with the variational inequality, the equilibrium problem and the fixed point problem in a Hilbert space.

NCTS(South)/ NCKU Math Colloquium

DATE	2012-10-31　15:00-16:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Professor Wataru Takahashi（Tokyo Institute of Technology）

TITLE	Iterative Common Solutions for Monotone Inclusion Problems, Fixed Point Problems and Equilibrium Problems and Applications

ABSTRACT	In this talk, we prove strong convergence theorems for finding a common point of the set of zero points of the addition of an inverse-strongly monotone mapping and a maximal monotone operator and the set of zero points of a maximal monotone operator which is related to an equilibrium problem in a Hilbert space. As applications of the results, we present well-known and new strong convergence theorems which are connected with the variational inequality, the equilibrium problem and the fixed point problem in a Hilbert space.