Title: ON THE HÖLDER CONTINUITY OF APPROXIMATE SOLUTION MAPPINGS TO PARAMETRIC WEAK GENERALIZED KY FAN INEQUALITY.
Authors: ZAIYUN PENG; XINMIN YANG; KOK LAY TEO
Abstract: In this paper, by using a scalarization method, we establish sufficient conditions for Hölder continuity of approximate solution mapping to a class of parametric weak generalized Ky Fan Inequality with set-valued mappings. These results extend and improve some known results in the literature. Furthermore, some examples are given to illustrate the obtained results.
Subjects: BUSINESS continuity planning; APPROXIMATE solutions (Logic); PARAMETER estimation; MATHEMATICAL mappings; MATHEMATICAL inequalities
Publication: Journal of Industrial & Management Optimization, 2015, Vol 11, Issue 2, p549
ISSN: 1547-5816
Publication type: Academic Journal
DOI: 10.3934/jimo.2015.11.549

ON THE HÖLDER CONTINUITY OF APPROXIMATE SOLUTION MAPPINGS TO PARAMETRIC WEAK GENERALIZED KY FAN INEQUALITY.

ZAIYUN PENG; XINMIN YANG; KOK LAY TEO