Title: Generalized Directional Derivative of (h;φ)-Convex Function and its Properties
Abstract:The concept of directional derivatives is particularly useful in the motivation and development of some optimality criteria and computational procedures in nonlinear programming.With the help of Ben-T...The concept of directional derivatives is particularly useful in the motivation and development of some optimality criteria and computational procedures in nonlinear programming.With the help of Ben-Tal generalized algebraic operations,a kind of generalized directional derivatves for (h,φ)-convex functions is defined,which is a generalization of directional derivatives for convex functions.The formula is given for calculating generalized directional derivative by using the directional derivative of convex functions.The concept of (h,φ)-differentiable functions is introduced.The relationship between (h,φ)-differential and generalized directional derivative is presented for a class of (h,φ)-convex and (h,φ)-differentiable functions.Finally,The subdifferential is characterized by utilizing the generalized directional derivative.Read More
Publication Year: 2002
Publication Date: 2002-01-01
Language: en
Type: article
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