Manuscript Topics

Functional analysis constitutes a profoundly interdisciplinary domain, exerting significant influence across numerous areas both within and beyond mathematics. It furnishes a rigorous theoretical framework and a highly adaptable analytical apparatus for the investigation of systems characterized by linear or nonlinear mappings acting on subsets of vector spaces of finite or infinite dimensionality.

This special issue of AIMS Mathematics focuses on functional-analytic methods applied to the study of fixed points of nonlinear operators and common fixed points of operator semigroups, with particular emphasis on applications to the theory of differential equations and dynamical systems.

Keywords

• Functional-analytic methods in metric and topological fixed-point theory
• Geometric foundations of fixed-point theory in Banach and metric spaces
• Existence of fixed points
• Approximation of fixed points
• Applications of fixed-point theorems to differential equations
• Stationary points in dynamical systems
• Applications of fixed-point theory in science and technology

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