This article aims to demonstrate how the definitions of slopes can be extended to multi-valued mappings between metric spaces and applied for characterizing metric regularity. Several kinds of local and nonlocal slopes are defined and several metric regularity properties for set-valued mappings between metric spaces are investigated.
Citation
Published in Vietnam Journal of Mathematics 40:2&3(2012) 355-369. The original publication is available at http://www.math.ac.vn/publications/vjm/