Bulletin of the Australian Mathematical Society · 2000 · 64 citations · 14 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsFinite Element MethodsApproximation MethodsNumerical AlgorithmsPerturbation MethodsPerturbation TheoryVariational FormulationWeak FormulationNonlinear Variational FormulationNonlinear Variational MechanicsNonlinear Variational ProblemsPerturbation Of Nonlinear Differential EquationsVariational Methods In Partial Differential EquationsWeak Form Of Partial Differential Equations
In this paper, we define the concept of η- subdifferential in a more general setting than the one used by Yang and Craven in 1991. By using η-subdifferentiability, we suggest a perturbed algorithm for finding the approximate solutions of strongly nonlinear variational-like inclusions and prove that these approximate solutions converge to the exact solution. Several special cases are also discussed.
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