Abstract
We consider a semistability property for a solution of variational inclusion of the form \({0\in\varphi(z)+F(z)}\) where φ is a single-valued function admitting a second order Fréchet derivative and F is a set-valued map. We show that this property ensures interesting results for the order of convergence for a Hummel-Seebeck type method.
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Burnet, S., Jean-Alexis, C. & Pietrus, A. An iterative method for semistable solutions. RACSAM 105, 133–138 (2011). https://doi.org/10.1007/s13398-011-0014-x
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DOI: https://doi.org/10.1007/s13398-011-0014-x
Keywords
- Set-valued mapping
- Semistability property
- Hölder-type condition
- Superlinear convergence
- Superquadratic convergence
- Cubic convergence