- Title
- On Holder continuity of solution maps of parametric primal and dual Ky Fan inequalities
- Creator
- Anh, Lam Quoc; Khanh, Phan Quoc; Tam, T. N.
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92589
- Identifier
- vital:9599
- Identifier
-
https://doi.org/10.1007/s11750-014-0332-1
- Identifier
- ISSN:1134-5764
- Abstract
- We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Holder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Holder continuity of solutions for constrained minimization and variational inequalities.
- Publisher
- Springer
- Relation
- Top Vol. 23, no. 1 (2015), p. 151-167
- Rights
- Copyright © Sociedad de Estadística e Investigación Operativa 2014
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Holder continuity; Parametric Ky Fan inequalities; Parametric dual Ky Fan inequalities; Strong convexity; Constrained minimization; Variational inequalities; Quasi-equilibrium problems; Generalized monotone bifunctions; Sensitivity-analysis; Metric-spaces; Solution mappings; Solution sets; Semicontinuity; Stability; Existence
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