Abstract
In this paper, stability results for generalized $f$-projection operators with parametric perturbations are given in reflexive, smooth, and strictly convex Banach spaces. By using the stability of generalized $f$-projection operators and the degree theory for the generalized set-valued variational inequality introduced by Wang and Huang [30], the lower continuity of the solution mapping for the parametric generalized set-valued variational inequality is established under some suitable conditions.
Citation
Zhong-bao Wang. Nan-jing Huang. "STABILITY ANALYSIS FOR GENERALIZED $f$-PROJECTION OPERATORS WITH AN APPLICATION." Taiwanese J. Math. 17 (5) 1727 - 1750, 2013. https://doi.org/10.11650/tjm.17.2013.3044
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