Semipreinvex Functions

Xinmin Yang
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Xinmin Yang: Chongqing Normal University

Chapter Chapter 3 in Generalized Preinvexity and Second Order Duality in Multiobjective Programming, 2018, pp 43-52 from Springer

Abstract: Abstract Yang and Chen [102] introduced a class of generalized convex functions, called semipreinvex functions. A set K in ℝ n $${\mathbb {R}}^n$$ is said to satisfy the “semi-connected” property, ie, for any x, y ∈ K and α ∈ [0, 1], there exists a vector η ( x , y , α ) ∈ ℝ n $$\eta (x,y,\alpha )\in {\mathbb {R}}^n$$ such that y + αη(x, y, α) ∈ K.

Date: 2018
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DOI: 10.1007/978-981-13-1981-5_3

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