Inf-Dif-Stability of Oblique Perturbation

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Chen Song-qiang, Chou Kuan-wen. Inf-Dif-Stability of Oblique Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(9): 767-772.

Citation:

Chen Song-qiang, Chou Kuan-wen. Inf-Dif-Stability of Oblique Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(9): 767-772.

Citation:

Chen Song-qiang, Chou Kuan-wen. Inf-Dif-Stability of Oblique Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(9): 767-772.

Abstract

Lanrem and Rockafellar have studied certain problems of perturbation and of stability in convex minimization problems.Laurent has discussed inf-dif-stability conditions respectively for horizontal perturbation and for vertical perturbation.In this paper, we generalize some results of Laurent^[1] by giving several inf-dif-slability conditions of oblique perturbation.

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[3]	Rockafellar.R.T.,Convex Analysis,Prinston Univ.Press(1970).
[4]	Chen Song-qiang(陈嵩强),Un theoreme de stabilite des perturbation oblique dans Le problème de minimisation comvexe,Acta Mathematica Scientia,4,2(1984),243-258.