Titlebook: Generalized Preinvexity and Second Order Duality in Multiobjective Programming; Xinmin Yang Book 2018 Springer Nature Singapore Pte Ltd. 2

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https://doi.org/10.1007/978-1-349-23809-5ity of a real-valued function is equivalent to the monotonicity of the corresponding gradient function. It is worth noting that monotonicity has played a very important role in the study of the existence and solution methods of variational inequality problems. As an important breakthrough, a general

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Stephen Brennan,Garabed Eknoyantions have been made to its development in the past few decades. Many authors have formulated different duality models, such as, Wolfe dual [.] and Mond-Weir dual [.] for nonlinear programming problems.

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Xinmin YangIntroduces generalized convex functions and generalized monotone functions.Equips readers with generalized preinvex functions and generalized invariant monotonicities.Application to the study of optim

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Contemporary Medical AcupunctureIn Chap. 1, some important properties of preinvex functions are obtained. In this chapter, a new class of generalized convex functions is introduced. These functions are closely related to preinvex functions, and are referred to as termed semistrictly preinvex functions. Some properties of semistrictly preinvex functions are established.

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Edwin L. Prien Jr.,Hibbard E. WilliamsYang and Chen [.] introduced a class of generalized convex functions, called semipreinvex functions. A set . in . is said to satisfy the “semi-connected” property, ie, for any ., . ∈ . and . ∈ [0, 1], there exists a vector . such that . + .(., ., .) ∈ ..

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Immunologically Mediated Renal Disease,Symmetric duality in nonlinear programming in which the dual of the dual is the primal is first introduced by Dorn [.].