Interior proximal methods for quasiconvex optimization

@article{Langenberg2012InteriorPM,
  title={Interior proximal methods for quasiconvex optimization},
  author={Nils Langenberg and Rainer Tichatschke},
  journal={J. Global Optimization},
  year={2012},
  volume={52},
  pages={641-661}
}
A generalized proximal point algorithm for the minimization of a nonconvex function on a feasible set is investigated. It is known that if the objective function of the given problem is (lower semicontinuous, proper and) convex, well-definedness of the method as well as convergence of the generated iterates, being the solutions of better conditioned and uniquely solvable subproblems, are known. The present paper contributes to the discussion of the methods’ behaviour when the objective is not… CONTINUE READING

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