Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings. Its subject matter includes:: 1–2  generalizations...

a functional had previously been introduced in 1887 by the Italian mathematician and physicist Vito Volterra. The theory of nonlinear functionals was...

generally), typically of infinite dimension. It is one aspect of nonlinear functional analysis. A first step in extending the theory of holomorphic functions...

Chicago. She does research in real analysis, geometric measure theory, and geometric nonlinear functional analysis. She proved the equivalence of the...

is an American/Moroccan mathematician known for his work in nonlinear functional analysis, the fixed point theory, and metric spaces. He has made notable...

simplified by Takaaki Nishida and used in an analysis of the Boltzmann equation. Making use of his work on fully nonlinear elliptic equations[N53a], Nirenberg's...

Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...

mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it...

Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...

the calculus of variations and much of nonlinear analysis and nonlinear functional analysis. Let V {\displaystyle V} and W {\displaystyle W} be normed vector...

In nonlinear functional analysis, the Krasnoselskii genus generalizes the notion of dimension for vector spaces. The Krasnoselskii genus of a linear space...

a dataset has a pattern hidden inside it that is nonlinear, then PCA can actually steer the analysis in the complete opposite direction of progress.[page needed]...

important contributions to geometrical methods in linear and nonlinear functional analysis and to the study of Banach algebras. He was also interested...

Fan's work in fixed point theory, in addition to influencing nonlinear functional analysis, has found wide applications in mathematical economics and game...

voltage, e.g. a diode. Nonlinear functional analysis is a branch of Mathematical Analysis that deals with nonlinear mappings. Nonlinear optics, in physics...

model response is nonlinear with respect to its inputs. In such cases, variance-based measures are more appropriate. Multiple or functional outputs: Generally...

theoretical justification of these methods often involves theorems from functional analysis. This reduces the problem to the solution of an algebraic equation...

harmonic analysis, but is perhaps closer in spirit to representation theory and functional analysis. One of the most modern branches of harmonic analysis, having...

of functional analysis and geometry, particularly Banach space theory, finite- and infinite-dimensional convexity, geometric nonlinear functional analysis...

statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination...

a Soviet and Russian mathematician renowned for his work on nonlinear functional analysis and its applications. Mark Krasnoselsky was born in Starokostiantyniv...

Mathematical Society. Felix Browder was renowned in the field of nonlinear functional analysis—a branch of mathematics with wide applications to such fields...

{\displaystyle X} into the field of real or complex numbers. In functional analysis, the term linear functional is a synonym of linear form; that is, it is a scalar-valued...

2016) was an American mathematician known for his work in nonlinear functional analysis. He received the National Medal of Science in 1999 and was President...

ISBN 978-0-387-95373-1 Ciarlet, Philippe G. (2013), Linear and Nonlinear Functional Analysis with Applications, Society for Industrial and Applied Mathematics...

or evolutionary). His analysis of these problems combines fine methods at the interplay between nonlinear functional analysis, critical point theory...

Ekeland has written influential monographs and textbooks on nonlinear functional analysis, the calculus of variations, and mathematical economics, as...

ISBN 978-1-84628-369-7 Benyamini, Yoav; Lindenstrauss, Joram (2000). Geometric Nonlinear Functional Analysis. American Mathematical Society. p. 11. ISBN 0-8218-0835-4. Burago...

theorem Tonelli's theorem (functional analysis), a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces This disambiguation...

Addison-Wesley Publishing Co., Inc. Zeidler, Eberhard (1997). Nonlinear functional analysis and its Applications. Vol.4. Springer-Verlag New York Inc....