Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications

Various kinds of nonlinear scalarization functions play important roles in vector optimization. Among them, the one commonly known as the Gerstewitz function is good at scalarizing. In linear normed spaces, the globally Lipschitz property of such function is deduced via primal and dual spaces approa...

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Bibliographic Details
Main Authors: Fang Lu, Chun-Rong Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/792364