# American Institute of Mathematical Sciences

July  2019, 15(3): 1387-1397. doi: 10.3934/jimo.2018100

## Perturbation analysis of a class of conic programming problems under Jacobian uniqueness conditions

 School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

* Corresponding author: Z. R. Yin

Received  September 2017 Revised  March 2018 Published  July 2018

Fund Project: The second author is supported by the National Natural Science Foundation of China under projects No. 11571059, No. 11731013 and No. 91330206.

We consider the stability of a class of parameterized conic programming problems which are more general than $C^2$-smooth parameterization. We show that when the Karush-Kuhn-Tucker (KKT) condition, the constraint nondegeneracy condition, the strict complementary condition and the second order sufficient condition (named as Jacobian uniqueness conditions here) are satisfied at a feasible point of the original problem, the Jacobian uniqueness conditions of the perturbed problem also hold at some feasible point.

Citation: Ziran Yin, Liwei Zhang. Perturbation analysis of a class of conic programming problems under Jacobian uniqueness conditions. Journal of Industrial & Management Optimization, 2019, 15 (3) : 1387-1397. doi: 10.3934/jimo.2018100
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