A Class of Semilocal E‐Preinvex Functions and Its Applications in Nonlinear Programming

Hehua Jiao, Sanyang Liu and Xinying Pai

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: A kind of generalized convex set, called as local star‐shaped E‐invex set with respect to η, is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocal E‐preinvex functions, which is a generalization of semi‐E‐preinvex functions and semilocal E‐convex functions, is introduced. Simultaneously, some of its basic properties are discussed. Furthermore, as its applications, some optimality conditions and duality results are established for a nonlinear programming.

Date: 2012
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https://doi.org/10.1155/2012/629194

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:629194

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