Strong convergence of two regularized relaxed extragradient schemes for solving the split feasibility and fixed point problem with multiple output sets
Adeolu Taiwo, Simeon Reich, Chinedu Izuchukwu
Abstract
We study the split feasibility and fixed point problem with multiple output sets in real Hilbert spaces. Using Tikhonov's regularization and viscosity approximation techniques, we propose two relaxed extragradient algorithms for finding approximate solutions to this problem and prove that the sequences they generate converge strongly. Finally, we give some consequences and an application of our results, and also present numerical examples to validate the efficiency of our algorithms.
Topics & Concepts
MathematicsTikhonov regularizationRegularization (linguistics)Hilbert spaceFixed pointConvergence (economics)Applied mathematicsMathematical optimizationAlgorithmInverse problemMathematical analysisComputer scienceArtificial intelligenceEconomic growthEconomicsOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis