论文信息 - Characterization of nonsmooth quasiconvex and pseudoconvex functions - 字舞流文

Characterization of nonsmooth quasiconvex and pseudoconvex functions

This paper characterizes the nonsmooth quasiconvex and pseudoconvex functions using the properties of limiting subdifferentials.

Majid Soleimani-damaneh | M. Soleimani-damaneh

[1] Jonathan M. Borwein,et al. A characterization of quasiconvex vector-valued functions , 2002 .

[2] B. Mordukhovich. Maximum principle in the problem of time optimal response with nonsmooth constraints PMM vol. 40, n≗ 6, 1976, pp. 1014-1023 , 1976 .

[3] B. Mordukhovich. Variational Analysis and Generalized Differentiation II: Applications , 2006 .

[4] Yu. S. Ledyaev,et al. Nonsmooth analysis and control theory , 1998 .

[5] G. Ewing. Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory , 1977 .

[6] S. Karamardian,et al. Seven kinds of monotone maps , 1990 .

[7] Nicolae Popovici,et al. Between quasi-convex and convex set-valued mappings , 2004, Appl. Math. Lett..

[8] Mokhtar S. Bazaraa,et al. Nonlinear Programming: Theory and Algorithms , 1993 .

[9] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .