A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space
Sun Young Cho
Abstract
In this paper, a monotone Bregan projection algorithm is investigated for solving equilibrium problems and common fixed point problems of a family of closed multi-valued Bregman quasi-strict pseudocontractions. Strong convergence is guaranteed in the framework of reflexive Banach spaces.
Topics & Concepts
MathematicsMonotone polygonBanach spaceFixed pointPseudo-monotone operatorProjection (relational algebra)Convergence (economics)ReflexivityDykstra's projection algorithmProjection methodBregman divergencePure mathematicsApplied mathematicsMathematical analysisAlgorithmFinite-rank operatorGeometryOperator spaceEconomic growthSocial scienceEconomicsSociologyOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis