The split feasibility and fixed point equality problems for quasi-nonexpansive mappings in Hilbert spaces

2016/10/07 by L. B. Mohammed, Adem Kılıçman, Mohammed, L. B. +1
Computer Science · Mathematics · #Optimization and Variational Analysis #Fixed Point Theorems Analysis #Advanced Optimization Algorithms Research

paper · pdf · doi:10.48550/arxiv.1610.02133

Abstract

In this paper, we introduce a new problem called the split feasibility and fixed point equality problems (SFFPEP) and propose a new iterative algorithm for solving the problem (SFFPEP) for the class of quasi-nonexpansive mappings in Hilbert spaces. Furthermore, we study the convergence of the proposed algorithm. At the end, we give numerical example that illustrate our theoretical result. The SFFPEP is a generalization of the split feasibility problem (SFP), split feasibility and fixed point problems (SFFPP) and split equality fixed point problem (SEFPP).

Related

• Split common fixed point problems and its variant forms
• The Problem of Split Equality Fixed-Point and its Applications
• New averaged type algorithms for solving split common fixed-point problem for demicontractive mappings
• Split general quasi-variational inequality problem
• Parallel methods for quasinonexpansive mappings in a Hilbert space