Self-Adaptive Method and Inertial Modification for Solving the Split Feasibility Problem and Fixed-Point Problem of Quasi-Nonexpansive Mapping
Yuanheng Wang, Tiantian Xu, Jen‐Chih Yao, Bingnan Jiang
Abstract
The split feasibility problem (SFP) has many practical applications, which has attracted the attention of many authors. In this paper, we propose a different method to solve the SFP and the fixed-point problem involving quasi-nonexpansive mappings. We relax the conditions of the operator as well as consider the inertial iteration and the adaptive step size. For example, the convergence generated by our new method is better than that of other algorithms, and the convergence rate of our algorithm greatly improves that of previous algorithms.
Topics & Concepts
Fixed pointConvergence (economics)Inertial frame of referenceOperator (biology)Mathematical optimizationComputer scienceRate of convergencePoint (geometry)AlgorithmMathematicsMathematical analysisGeometryKey (lock)RepressorQuantum mechanicsEconomic growthComputer securityChemistryEconomicsBiochemistryTranscription factorGenePhysicsOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis