论文信息 - Characterizations of evenly convex sets and evenly quasiconvex functions

Characterizations of evenly convex sets and evenly quasiconvex functions

The aim of this paper is to present a geometric characterization of even convexity in separable Banach spaces, which is not expressed in terms of dual functionals or separation theorems. As an application, an analytic equivalent definition for the class of evenly quasiconvex functions is derived.

Juan Enrique Martínez-Legaz | Aris Daniilidis | A. Daniilidis | J. Martínez-Legaz

[1] I. Singer. Abstract Convex Analysis , 1997 .

[2] Juan Enrique Martínez-Legaz,et al. Quasiconvex duality theory by generalized conjugation methods , 1988 .

[3] H. Kunzi,et al. Lectu re Notes in Economics and Mathematical Systems , 1975 .

[4] Hereditary order convexity inL(X,Y) , 1989 .

[5] W. Ziemba,et al. Generalized concavity in optimization and economics , 1981 .

[6] Jean-Paul Penot,et al. On Quasi-Convex Duality , 1990, Math. Oper. Res..

[7] J. Penot. Generalized Convexity in the Light of Nonsmooth Analysis , 1995 .

[8] U. PASSY,et al. Conjugacy in quasi-convex programming , 1984, Math. Program..

[9] N. Hadjisavvas,et al. Nonlinear monotone operators with values in L(X, Y) , 1989 .

[10] Jonathan M. Borwein,et al. Partially finite convex programming, Part I: Quasi relative interiors and duality theory , 1992, Math. Program..

[11] Juan Enrique Martínez-Legaz,et al. Duality between direct and indirect utility functions under minimal hypotheses , 1991 .