Document Type : Original Paper
Authors
1 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Islamic Republic of Iran
2 2 Department of Mathematics, Sheikhbahaee University and University of Isfahan, Isfahan, Islamic Republic of Iran
Abstract
This survey investigates some developments in the second-order characterization of generalized convex functions using the coderivative of subdifferential mapping. More precisely, it presents the second-order characterization for quasiconvex, pseudoconvex and invex functions. Furthermore, it gives some applications of the second-order subdifferentials in optimization problems such as constrained and unconstrained nonlinear programming.
Keywords
- Second-order subdifferential
- Positive semidefinite property
- Regular second-order subdifferential
- Second-order optimality conditions
Main Subjects
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