Some saddle-point theorems for vector-valued functions

Nguyen Xuan Hai (), Nguyen Hong Quan () and Vo Viet Tri ()
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Nguyen Xuan Hai: Posts and Telecommunications Institute of Technology
Nguyen Hong Quan: Posts and Telecommunications Institute of Technology
Vo Viet Tri: Thu Dau Mot University

Journal of Global Optimization, 2023, vol. 86, issue 1, No 7, 161 pages

Abstract: Abstract This paper concerns with vector saddle point problems where the image space of the objective bifunction is not endowed with any topology and the orders in the image space are defined from general sets. Some new existence results of vector saddle points are established based on using notions of vector-cyclic quasimonotonicity together with notions of “algebraic” semicontinuity, without assuming convexity assumptions.

Keywords: Vector saddle point problems; Algebraic interior; Vectorial closure; Vector-cyclic quasimonotonicity; “algebraic” semicontinuity; 49J27; 90C29; 90C20; 47H05; 54C08; 54C30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10898-022-01250-z

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