On split equality problem for proximal point algorithm
Received: 12.III.2018, Accepted: 16.V.2018
Abstract. In this paper, we introduce a modified Mann iterative scheme for solving a split equality proximal point algorithm problem. We also establish strong convergence of this iterative sequence to a minimizer of a convex function which is also a common fixed point of a nonspreading-type multi-valued mapping in Hilbert space.
Keywords: Split equality, Proximal point algorithm, Fixed point, Nonexpansive mapping, Strong convergence
Mathematics Subject Classification (2010): 47H09, 47J25
Oluwatosin Temitope Mewomo, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, SouthAfrica
Godwin Chidi Ugwunnadi, Department of Mathematics, University of Swaziland, Kwaluseni, Swaziland