Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces
Shih-sen Chang, D. P. Wu, Lin Wang, Gang Wang · The Journal of Nonlinear Sciences and Applications · 2016
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.