On the Holder continuity of approximate solution mappings to parametric weak generalized Ky Fan inequality

Peng, Z.; Yang, X.; Teo, Kok Lay

doi:10.3934/jimo.2015.11.549

Access Status

Open access via publisher

Authors

Peng, Z.

Yang, X.

Teo, Kok Lay

Date

2015

Type

Journal Article

Metadata

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Citation

Peng, Z. and Yang, X. and Teo, K.L. 2015. On the Holder continuity of approximate solution mappings to parametric weak generalized Ky Fan inequality. Journal of Industrial and Management Optimization (JIMO). 11 (2): pp. 549-562.

Source Title

Journal of Industrial and Management Optimization (JIMO)

DOI

10.3934/jimo.2015.11.549

ISSN

1553-166X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/34667

Collection

Curtin Research Publications

Abstract

In this paper, by using a scalarization method, we establish sufficient conditions for H older continuity of approximate solution mapping to a class of parametric weak generalized Ky Fan Inequality with set-valued mappings. These results extend and improve some known results in the literature. Furthermore, some examples are given to illustrate the obtained results.