## Taiwanese Journal of Mathematics

### THE EXISTENCE RESULTS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY QUASI-VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES

#### Abstract

In this paper, some existence results for optimal control problems governed by abstract quasi-variational inequalities are proved in reflexive Banach spaces. As an application, an existence of the optimal control for the bilateral obstacle optimal control problem is also given under some suitable conditions, in which the state satisfies a quasilinear elliptic variational inequality with a source term.

#### Article information

Source
Taiwanese J. Math., Volume 16, Number 4 (2012), 1221-1243.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406733

Digital Object Identifier
doi:10.11650/twjm/1500406733

Mathematical Reviews number (MathSciNet)
MR2951137

Zentralblatt MATH identifier
1258.49009

#### Citation

Wang, Zhong-bao; Huang, Nan-jing; Wen, Ching-Feng. THE EXISTENCE RESULTS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY QUASI-VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES. Taiwanese J. Math. 16 (2012), no. 4, 1221--1243. doi:10.11650/twjm/1500406733. https://projecteuclid.org/euclid.twjm/1500406733

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