Hölder Continuity of the Solution Set of the Ky Fan Inequality

X. B. Li (), X. J. Long and J. Zeng
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X. B. Li: Chongqing Jiaotong University
X. J. Long: Chongqing Technology and Business University
J. Zeng: Chongqing Technology and Business University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 2, No 6, 397-409

Abstract: Abstract This paper is concerned with the Hölder continuity of the perturbed solution set to a convex Ky Fan Inequality. We establish some new sufficient conditions for the uniqueness and Hölder continuity of the solution set of the Ky Fan Inequality both in the given space and in its image space by perturbing the objective function and the feasible set. Our methods and results are different from the corresponding ones in the literature. Some examples are given to analyze the obtained results.

Keywords: Ky Fan Inequality; Perturbed solution set; Uniqueness; Hölder continuity; Strong convexity (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0249-5

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