Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality

Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality

Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve th...

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Veröffentlicht in:Abstract and Applied Analysis 2014, Vol.2014 (2014), p.718-723-666
1. Verfasser: Xu, Y. D.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Colleges & universities
Inequalities
Inequalities (Mathematics)
Inequality
Mapping
Mappings (Mathematics)
Mathematical models
Nonlinearity
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Zusammenfassung:Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/451521