Solvability of Set-Valued Vector Optimization Problem

Jiawei Chen, Qi Xin Yin · 2009

In this paper, the authors introduce Dini derivative operator in the sense of set-values, establish the relations between set-valued vector quasi-variational inequality and set-valued vector optimization problems, and prove the existence of a weak minimum for a class of constrained set-valued vector optimization problem by making use of quasi-variational inequality and extending pseudo D-invex functions.

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