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Nonlinear functional analysis deals with the study of nonlinear operators and their applications. It involves the analysis of nonlinear functionals, which are functions that assign a scalar value to each vector in a vector space. Nonlinear functional analysis has numerous applications in various fields, including: Searching for "linear and nonlinear functional analysis with
Functional analysis is a mathematical discipline that combines elements of linear algebra, calculus, and topology to study vector spaces and linear operators between them. It provides a powerful framework for analyzing and solving problems in various fields, including differential equations, optimization, and signal processing. The subject has two main branches: linear functional analysis and nonlinear functional analysis. It involves the analysis of nonlinear functionals, which