Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions
Yonghong Yao, Huayu Li, Mihai Postolache
Abstract
In this paper, we investigate the split equilibrium problems and fixed point problems in Hilbert spaces. We provide a unified framework for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are pseudocontractive. We suggest an iterative algorithm for solving the split problem and demonstrate its weak convergence.
Topics & Concepts
Fixed pointMonotone polygonMathematicsHilbert spaceConvergence (economics)Monotonic functionApplied mathematicsIterative methodFixed-point theoremMathematical optimizationAlgorithmDiscrete mathematicsPure mathematicsMathematical analysisEconomicsEconomic growthGeometryOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research