Journal of Applied Mathematics

Stable Analysis of Solution Set for System of Quasivariational Relations with Applications

Lefeng Shi and Zhe Yang

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Abstract

The essential stability of solutions for system of quasivariational relations is studied. We show that most of systems of quasivariational relations are essential (in the sense of Baire category) and that, for any system of quasivariational relations, there exists at least one essential component of its solution set. As applications, the existence of essential components of solution set for systems of KKM problems and systems of quasivariational inclusions is obtained.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 109616, 7 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305965

Digital Object Identifier
doi:10.1155/2014/109616

Mathematical Reviews number (MathSciNet)
MR3251565

Citation

Shi, Lefeng; Yang, Zhe. Stable Analysis of Solution Set for System of Quasivariational Relations with Applications. J. Appl. Math. 2014 (2014), Article ID 109616, 7 pages. doi:10.1155/2014/109616. https://projecteuclid.org/euclid.jam/1425305965


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