شماره ركورد كنفرانس :
4057
عنوان مقاله :
A Dynamical System Governed by a Set-valued Nonexpansive Mapping
عنوان به زبان ديگر :
A Dynamical System Governed by a Set-valued Nonexpansive Mapping
پديدآورندگان :
Khatibzadeh Hadi hkhatibzadeh@znu.ac.ir Department of Mathmatics, University of Zanjan, P.O. Box 45195-313, Zanjan , Rahimi Piranfar Mohsen m.piranfar@gmail.com Department of Mathematics, Institute for Advanced Studies in Basic Sciences, P.O. Box 45195-1159, Zanjan , Rooin Jamal rooin@iasbs.ac.ir Department of Mathematics, Institute for Advanced Studies in Basic Sciences, P.O. Box 45195-1159, Zanjan
كليدواژه :
dynamical system , set , valued nonexpansive mapping , resolvent , proximal point algorithm
عنوان كنفرانس :
چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي
چكيده فارسي :
We first introduce the resolvent operator for a set-valued nonexpansive mapping T. Then, we study the weak and
strong convergence of the orbits of the resolvent operator to a fixed point of the original mapping T. Finally, we apply the results
for approximating a solution of a variational inequality associated with a certain set-valued mapping.
چكيده لاتين :
We first introduce the resolvent operator for a set-valued nonexpansive mapping T. Then, we study the weak and
strong convergence of the orbits of the resolvent operator to a fixed point of the original mapping T. Finally, we apply the results
for approximating a solution of a variational inequality associated with a certain set-valued mapping.
