Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems
Li-Jun Zhu, Yonghong Yao
Abstract
In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators S and T are demicontractive operators and g is plain monotone. Strong convergence theorem is proved under some mild conditions.
Topics & Concepts
Fixed pointMathematicsMonotone polygonConvergence (economics)Fixed-point theoremIterative methodApplied mathematicsPoint (geometry)AlgorithmMathematical optimizationDiscrete mathematicsMathematical analysisGeometryEconomic growthEconomicsOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research