About Semicontinuity of Set-valued Maps and Stability of Quasivariational Inclusions

7Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We propose several additional kinds of semi-limits and corresponding notions of semicontinuity of a set-valued map. They can be used additionally to known basic concepts of semicontinuity to have a clearer insight of local behaviors of maps. Then, we investigate semicontinuity properties of solution maps to a general parametric quasivariational inclusion, which is shown to include most of optimization-related problems. Consequences are derived for several particular problems. Our results are new or generalize/improve recent existing ones in the literature. © 2014 The Author(s).

References Powered by Scopus

Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

136Citations
N/AReaders
Get full text

Existence of equilibria via Ekeland's principle

93Citations
N/AReaders
Get full text

On the stability of the solution sets of general multivalued vector quasiequilibrium problems

85Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Stability of solution mappings for parametric bilevel vector equilibrium problems

15Citations
N/AReaders
Get full text

Topologically-based characterizations of the existence of solutions of optimization-related problems

10Citations
N/AReaders
Get full text

Stability for Parametric Vector Quasi-Equilibrium Problems With Variable Cones

6Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Anh, L. Q., Khanh, P. Q., & Quy, D. N. (2014). About Semicontinuity of Set-valued Maps and Stability of Quasivariational Inclusions. Set-Valued and Variational Analysis, 22(3), 533–555. https://doi.org/10.1007/s11228-014-0276-5

Readers' Seniority

Tooltip

Professor / Associate Prof. 2

50%

PhD / Post grad / Masters / Doc 1

25%

Researcher 1

25%

Readers' Discipline

Tooltip

Mathematics 2

67%

Computer Science 1

33%

Save time finding and organizing research with Mendeley

Sign up for free