Variational Analysis of Regular Mappings Page 1 Springer Monographs in Mathematics
Variational Analysis of Regular Mappings Alexander D. Ioffe Theory and Applications Page 2 …

The preparation of this second edition of our book was triggered by a rush of fresh
developments leading to many interesting results. The text has significantly been enlarged …

Setting up equations and solving them has long been so important that, in popular
imagination, it has virtually come to describe what mathematical analysis and its …

Control system design for non-affine systems is a difficult problem because of the lack of
mathematical tools. The key to the problem is solving for an implicit function but the known …

Results on stability of both local and global metric regularity under set-valued perturbations
are presented. As an application, we study (super) linear convergence of a Newton-type …

In this article, we prove inverse and implicit function theorems for H-differentiable functions,
thereby giving a unified treatment of such theorems for C 1-functions, PC 1-functions, and for …

Metric regularity theory lies in the very heart of variational analysis, a relatively new
discipline whose appearance was, to a large extent, determined by the needs of modern …

We prove several generalizations of the results in [6] for set-valued mappings. In some
cases, we improve also the statements for single-valued mappings. Linear openness of the …

Objective: To determine whether measures of early communicative behavior in young
children obtained within the first year after implantation could predict speech and language …

In our recent research endeavors, we have delved into the realm of tail bounds problems
concerning bivariate random tensor means. In this context, tensors are treated as finite …