Abstract
We consider metric regularity of composite multifucntions and establish an inequality on the moduli of metric regularity. Refining the original proofs of the Robinson-Ursescu theorem and Lyusternik-Graves theorem, we give an unified analysis for these two theorems, applicable to the composite of a closed convex multifunction and a continuous function.
Citation
Xi Yin Zheng. Kung Fu Ng. "METRIC REGULARITY OF COMPOSITE MULTIFUNCTIONS IN BANACH SPACES." Taiwanese J. Math. 13 (6A) 1723 - 1735, 2009. https://doi.org/10.11650/twjm/1500405611
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