Existence of Solutions for Vector Optimization on Hadamard Manifolds

Li-Wen Zhou and Nan-Jing Huang ()
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Li-Wen Zhou: Sichuan University
Nan-Jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 1, No 3, 44-53

Abstract: Abstract In this paper, a relationship between a vector variational inequality and a vector optimization problem is given on a Hadamard manifold. An existence of a weak minimum for a constrained vector optimization problem is established by an analogous to KKM lemma on a Hadamard manifold.

Keywords: Hadamard manifold; Weak minimum; Vector optimization; Vector variational inequality; Geodesic convex (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0186-3

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