Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2012; 49(2): 249-262

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.249

Copyright © The Korean Mathematical Society.

Sensitivity analysis for a class of implicit multifunctions with applications

Shengjie Li and Minghua Li

Chongqing University, Chongqing University

Abstract

In this paper, under some suitable conditions and in virtue of a selection which depends on a vector-valued function and a feasible set map, the sensitivity analysis of a class of implicit multifunctions is investigated. Moreover, by using the results established, the solution sets of parametric vector optimization problems are studied.

Keywords: selection, sensitivity analysis, implicit multifunction, parametric vector optimization problem

MSC numbers: 49K40, 90C29, 90C31