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Inf-dif-stability of oblique perturbation

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Abstract

Laurent 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-stability conditions of oblique perturbation.

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References

  1. Laurent, P.J.,Approximation at Optimisation, Hermann (1972).

  2. Joly, J.L. and P.J.Laurent., Stability and duality in convex minimization problems, M.R.C. Techn. Report 1090, Univ. of Wisc. (1970); RIRO., (1971), 3–42.

  3. Rockafellar. R.T.,Convex Analysis, Prinston Univ. Press (1970).

  4. Chen Song-qiang, Un theoreme de stabilite des perturbation oblique dans Le problème de minimisation comvexe,Acta Mathematica Scientia,4, 2 (1984), 243–258.

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Authors and Affiliations

  1. Wuhan University, Wuhan

    Chen Song-qiang & Chou Huan-wen

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  1. Chen Song-qiang
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  2. Chou Huan-wen
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Project supported by the National Natural Science Foundation of China.

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Song-qiang, C., Huan-wen, C. Inf-dif-stability of oblique perturbation. Appl Math Mech 10, 805–810 (1989). https://doi.org/10.1007/BF02013748

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  • DOI: https://doi.org/10.1007/BF02013748

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