Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness
Chinedu Izuchukwu, Simeon Reich, Yekini Shehu
Abstract
We study the split monotone variational inclusion problem in two real Hilbert spaces. Combining the inertial and relaxation techniques with the proximal contraction algorithm, we propose two new methods for solving this problem without the usual co-coerciveness assumption on the associated operators.
Topics & Concepts
MathematicsMonotone polygonHilbert spaceInertial frame of referenceMonotonic functionApplied mathematicsInclusion (mineral)Strongly monotoneContraction (grammar)Relaxation (psychology)Mathematical optimizationMathematical analysisClassical mechanicsGeometryPhysicsThermodynamicsSocial psychologyMedicinePsychologyInternal medicineOptimization and Variational AnalysisContact Mechanics and Variational InequalitiesNumerical methods in inverse problems