Generalized Invexity and Generalized Invariant Monotonicity

Xinmin Yang
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Xinmin Yang: Chongqing Normal University

Chapter Chapter 5 in Generalized Preinvexity and Second Order Duality in Multiobjective Programming, 2018, pp 77-91 from Springer

Abstract: Abstract A closely related concept of the convexity of a real-valued function is the monotonicity of a vector-valued function. It is well known that the convexity 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 generalization of this relation is given in [46] for various pseudo/quasi-convexities and pseudo/quasi-monotonicities.

Keywords: Invariant Monotonicities; Variational-like Inequality Problem; Vector-valued Function; Gradient Function; Quasimonotone (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-981-13-1981-5_5

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