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Optimization and Variational Inequalities with Pseudoconvex Functions
Journal of Optimization Theory and Applications, 2010In the present paper we consider a pseudoconvex (in an extended sense) function f using higher order Dini directional derivatives. A Variational Inequality, which is a refinement of the Stampacchia Variational Inequality, is defined. We prove that the solution set of this problem coincides with the set of global minimizers of f if and only if f is ...
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A Projection Neural Network to Nonsmooth Constrained Pseudoconvex Optimization
IEEE Transactions on Neural Networks and Learning Systems, 2021Jingxin Liu, Xiao-Fei Liao
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On the Pseudoconvexity of the Sum of Two Linear Fractional Functions
2006Charnes and Cooper (1962) reduced a linear fractional program to a linear program with help of a suitable transformation of variables. We show that this transformation preserves pseudoconvexity of a function. The result is then used to characterize sums of two linear fractional functions which are still pseudoconvex.
MARTEIN, LAURA +2 more
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Functions of many variables, monotone on pseudoconvex sets
Mathematical Notes, 1992See the review in Zbl 0764.42006.
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Holomorphic Lipschitz Functions in Pseudoconvex Domains
American Journal of Mathematics, 1979Robert Schneider, Patrick Ahern
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Estimates of the Bergman kernel function on certain pseudoconvex domains in ℂn
, 1996Sanghyun Cho
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BOUNDARY BEHAVIOR OF THE BERGMAN KERNEL FUNCTION ON SOME PSEUDOCONVEX DOMAINS IN C "
, 2010Sanghyun Cho
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Convexifiable pseudoconvex and strictly pseudoconvex C2-functions
2005S. Schaible, I. Zang
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THE PLURICOMPLEX GREEN FUNCTION ON PSEUDOCONVEX DOMAINS WITH A SMOOTH BOUNDARY
, 2000G. Herbort
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