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arXiv · 1108.1969

Lower Envelopes and Steepest Descent Directions in Vector Optimization

Nihat Gokhan Gogus
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Abstract

The purpose of the paper is to give a complete characterization of the continuity of lower envelopes in the infinite dimensional spaces in terms of the notion of c-regularity. As an application we introduce a variational unconstrained vector optimization problem for smooth functions and characterize when the variational steepest descent directions are continuous in terms of the generating sets which are considered.

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Nihat Gokhan Gogus. 2011-08-09. Lower Envelopes and Steepest Descent Directions in Vector Optimization. https://arxiv.org/abs/1108.1969

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