A Dynamical System Governed by a Set-valued Nonexpansive Mapping

عنوان به زبان ديگر

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

تعداد صفحه

3

كليدواژه

dynamical system , set , valued nonexpansive mapping , resolvent , proximal point algorithm

سال انتشار

1397

عنوان كنفرانس

چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي

زبان مدرك

انگليسي

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.

كشور

ايران