Optimization on Metric and Normed Spaces

The monograph is devoted to the study of optimization problems on complete metric spaces and Banach spaces.

Norm Derivatives and Characterizations of Inner Product Spaces

The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces. Since the appearance of Jordan-von Neumann's classical theorem (The Parallelogram Law) in 1935, the field of characterizations of inner product spaces has received a significant amount of attention in various literature texts.