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Weakly Homogeneous Optimization Problems

Vu Trung Hieu (hieuvut***at***gmail.com)

Abstract: This paper investigates a new class of optimization problems whose objective functions are weakly homogeneous relative to the constrain sets. Two sufficient conditions for nonemptiness and boundedness of solution sets are established. We also study linear parametric problems and upper semincontinuity of the solution map.

Keywords: optimization problem, weakly homogeneous function, asymptotic cone, pseudoconvex function, nonemptiness, boundedness, upper semincontinuity

Category 1: Nonlinear Optimization


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Entry Submitted: 01/28/2020
Entry Accepted: 01/28/2020
Entry Last Modified: 02/17/2020

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