- Title
- On topological existence theorems and applications to optimization-related problems
- Creator
- Khanh, Phan Quoc; Lin, Lai Jiu; Long, Vo Si Trong
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/39594
- Identifier
- vital:6304
- Identifier
-
https://doi.org/10.1007/s00186-014-0462-0
- Identifier
- ISSN:1432-5217
- Abstract
- In this paper, we establish a continuous selection theorem and use it to derive five equivalent results on the existence of fixed points, sectional points, maximal elements, intersection points and solutions of variational relations, all in topological settings without linear structures. Then, we study the solution existence of a number of optimization-related problems as examples of applications of these results: quasivariational inclusions, Stampacchia-type vector equilibrium problems, Nash equilibria, traffic networks, saddle points, constrained minimization, and abstract economies.; C1
- Publisher
- Physica-Verlag
- Relation
- Mathematical Methods of Operations Research Vol. 79, no. 3 (June 2014 2014), p. 253-272
- Rights
- © 2014 Springer-Verlag Berlin Heidelberg.
- Rights
- This metadata is freely available under a CCO license
- Subject
- Continuous selections; Fixed points; Nash equilibria; Quasivariational inclusions; Traffic networks; Variational relations; Constrained optimization; Continuous selection; Quasi variational inclusion; Variational relation; Topology; 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics
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