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

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Brain Laterality and PsychopathologyWe consider the following nonlinear programming problem:
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Preinvex FunctionsThe notion of invex functions was introduced by Hanson [.] as a generalization of differentiable convex functions.
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Prequasiinvex FunctionsIn [.], the concept of prequasiinvex functions is introduced. Later, Mohan and Neogy [.] obtain some properties of generalized preinvex functions. In this chapter, we consider the class of generalized preinvex functions, which contain prequasiinvex, semistrictly prequasiinvex, and strictly prequasiinvex functions as special cases.
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Multiobjective Wolfe Type Second-Order Symmetric DualitySymmetric duality in nonlinear programming in which the dual of the dual is the primal is first introduced by Dorn [.].
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Multiobjective Higher-Order DualityWe consider the following nonlinear programming problem:
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Generalized Invexity and Generalized Invariant Monotonicityity 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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