Level Function Method for Quasiconvex Programming

H. Xu

Journal of Optimization Theory and Applications, 2001, vol. 108, issue 2, No 10, 407-437

Abstract: Abstract In this paper, we introduce the notion of level function for a continuous real-valued quasiconvex function. The existence, construction, and application of level functions are discussed. Further, we propose a numerical method based on level functions for the solution of quasiconvex minimization problems. Several versions of the algorithms are presented. Also, we apply the idea of the level function method to the solution of a class of variational inequality problems. Finally, the results of numerical experiments on the proposed algorithms are reported.

Keywords: level functions; quasiconvex functions; level sets; level function methods (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1026446503110

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