Title of article :
Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces
Author/Authors :
Chang ، Shih-Sen - China Medical University , Wu ، Ding Ping - Chengdu University of Information Technology Chengsu , Wang ، Lin - Yunnan University of Finance and Economics , Wang ، Gang - Yunnan University of Finance and Economics
Abstract :
In this paper, a new modified proximal point algorithm involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces is proposed. Under suitable conditions, some weak convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the nonspreading-type multivalued mappings in Hilbert space are proved. The presented results in the paper are new.
Keywords :
Convex minimization problem , resolvent identity , proximal point algorithm , weak and strong convergence theorem , nonspreading , type multivalued mapping.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
