We consider nonlinear mappings f : X → Y between Banach spaces and study the notion of restrictive metric regularity of f around some point ¯ x, that is, metric regularity of f from X into the metric space E = f (X). Some sufficient as well as necessary and sufficient conditions for restrictive metric regularity are obtained, which particularly include an… (More)
The primary goal of this paper is to study some notions of normals to nonconvex sets in finite-dimensional and infinite-dimensional spaces and their images under single-valued and set.-valued mappings. The main motivation for our study comes from variational analysis and optimization. ·where the problems under consideration play a crucial role in many… (More)
Dedicated to Bert Jongen in honor of his 60th birthday The paper concerns new aspects of generalized differentiation theory that plays a crucial role in many areas of modern variational analysis, optimization, and their applications. In contrast to the majority of previous developments, we focus here on generalized differentiation of parameter-dependent… (More)
A neutral mononuclear Fe(II) complex with spin crossover (SCO) properties, Fe2(SCN)2 (1) (L = 2-(2-(trifluoromethyl)phenyl)-1H-imidazo[4,5-f][1,10]phenanthroline), was solvothermally synthesized. It displays a new example of two-step SCO with Tc1↓ = 250 K, Tc1↑ = 260 K and Tc2 = 295 K.
Nicotine has practical applications relating to smoking cessation devices and alternative nicotine products. Genetic manipulation for increasing nicotine content in cultivated tobacco (Nicotiana tabacum L.) may be of value for industrial purposes, including the possibility of enhancing the efficiency of nicotine extraction. Biotechnological approaches have… (More)
A novel infinite lanthanide hydroxide ribbon was successfully assembled in a 2D network, which exhibits slow relaxation of the magnetization at low temperature.