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Semi-E-Preinvex Functions

Semi-E-Preinvex Functions

Yu-Ru Syau, E. Stanley Lee
Copyright: © 2010 |Volume: 1 |Issue: 3 |Pages: 9
ISSN: 1947-3087|EISSN: 1947-3079|EISBN13: 9781609609535|DOI: 10.4018/jalr.2010070103
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MLA

Syau, Yu-Ru, and E. Stanley Lee. "Semi-E-Preinvex Functions." IJALR vol.1, no.3 2010: pp.31-39. http://doi.org/10.4018/jalr.2010070103

APA

Syau, Y. & Lee, E. S. (2010). Semi-E-Preinvex Functions. International Journal of Artificial Life Research (IJALR), 1(3), 31-39. http://doi.org/10.4018/jalr.2010070103

Chicago

Syau, Yu-Ru, and E. Stanley Lee. "Semi-E-Preinvex Functions," International Journal of Artificial Life Research (IJALR) 1, no.3: 31-39. http://doi.org/10.4018/jalr.2010070103

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Abstract

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

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