An Extension of Pseudolinear Functions and Variational Inequality Problems

M. Bianchi and S. Schaible
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M. Bianchi: Catholic University
S. Schaible: University of California

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 1, No 4, 59-71

Abstract: Abstract In optimization, objective functions which are both pseudoconvex and pseudoconcave have been studied extensively. Generalizing these results, we characterize pseudomonotone maps F where -F is also pseudomonotone and explore their properties in variational inequality problems. In particular, we extend recent results by Jeyakumar and Yang which were derived for optimization problems.

Keywords: pseudolinear functions; pseudomonotone maps; variational inequality problems (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004672604998

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