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Information Resources Management Association
Advancing the Concepts & Practices of Information Resources Management in Modern Organizations

Semi-E-Preinvex Functions

Semi-E-Preinvex Functions
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Author(s): Yu-Ru Syau (National Formosa University, Taiwan) and E. Stanley Lee (Kansas State University, USA)
Copyright: 2012
Pages: 7
Source title: Computer Engineering: Concepts, Methodologies, Tools and Applications
Source Author(s)/Editor(s): Information Resources Management Association (USA)
DOI: 10.4018/978-1-61350-456-7.ch311


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A class of functions called semi-E-preinvex functions is defined as a generalization of semi-E-convex functions. Similarly, the concept of semi-E-quasiconvex functions is also generalized to semi-E-prequasiinvex functions. Properties of these proposed classes are studied, and sufficient conditions for a nonempty subset of the n-dimensional Euclidean space to be an E-convex or E-invex set are given. The relationship between semi-E-preinvex and E-preinvex functions are discussed along with results for the corresponding nonlinear programming problems.

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