On well-posedness associated with a class of controlled variational inequalities
Savin Treanţă, Shalini Jha
Abstract
In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with the considered curvilinear integral functional, we investigate the well-posedness and well-posedness in generalized sense for a class of controlled variational inequality problems. More precisely, by introducing the approximating solution set of the considered class of controlled variational inequality problems, we formulate and prove some characterization results on well-posedness and well-posedness in generalized sense. Also, the theoretical developments presented in the paper are accompanied by illustrative examples.
Topics & Concepts
Monotonic functionMathematicsClass (philosophy)Curvilinear coordinatesVariational inequalityInequalityApplied mathematicsSense (electronics)Set (abstract data type)Mathematical analysisComputer scienceGeometryEngineeringProgramming languageElectrical engineeringArtificial intelligenceContact Mechanics and Variational InequalitiesOptimization and Variational AnalysisTopology Optimization in Engineering