自反严格凸Banach空间中约束极值解问题的扰动分析

Abstract

Abstract: In this paper, with the help of recent perturbation results of the Moore-Penrose metric generalized inverse, also based on an equivalent formation of the constrained extremal solution problems and the perturbation result for general extremal solution problems, we present some results on the perturbation analysis for extremal solution problems with equality constraints in reflexive strictly convex Banach spaces. As a consequence, some particular cases and applications will be also presented.

Key words: Algebraic metric generalized inverse, Constrained extremal solution, Perturbation

CLC Number:

O177.2

Cao Jianbing. Perturbation Analysis for Constrained Extremal Solution Problems in Reflexive Strictly Convex Banach Spaces[J].Acta mathematica scientia,Series A, 2018, 38(4): 649-657.

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References 26

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Perturbation Analysis for Constrained Extremal Solution Problems in Reflexive Strictly Convex Banach Spaces

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