Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces
Jong Kyu Kim, Truong Minh Tuyen, Mai Thị Ngọc Hà
Abstract
We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms and establish two strong convergence theorems for both of them. Moreover, using these methods, we also remove the assumptions imposed on the norm of the transfer operators.
Topics & Concepts
MathematicsHilbert spaceFixed pointProjection (relational algebra)Convergence (economics)Norm (philosophy)Projection methodApplied mathematicsPure mathematicsDiscrete mathematicsMathematical analysisMathematical optimizationAlgorithmDykstra's projection algorithmEconomic growthPolitical scienceLawEconomicsOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research