Fixed Point Theory And Functional Analysis
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Fixed Point Theory and Functional Analysis
Author: Pradip Debnath
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2025-11-21
This book aims to highlight the latest developments in fixed point theory and functional analysis by presenting insights from renowned scientists, physicists, and mathematicians worldwide. The book offers a comprehensive overview of the latest advancements in the field, featuring original contributions and surveys. Readers will find a wealth of useful tools and techniques to deepen their understanding of recent advances in mathematical and functional analysis, as well as their applications in physics and engineering. Each chapter highlights new research avenues, making this book an ideal resource for graduate students, faculty, and researchers seeking to expand their knowledge of fixed point theory and functional analysis, as well as their practical applications. The computational aspects in Banach and Hilbert spaces are well explored. Only a basic knowledge of analysis, topology, basic computation, and functional analysis is required to fully appreciate the material.
Nonlinear Functional Analysis and Its Applications
Author: E. Zeidler
language: en
Publisher: Springer Science & Business Media
Release Date: 1989-12-11
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Fixed Point Theory and Its Applications
Author: Robert F. Brown
language: en
Publisher: American Mathematical Soc.
Release Date: 1988
Represents the proceedings of an informal three-day seminar held during the International Congress of Mathematicians in Berkeley in 1986. This work covers topics including topological fixed point theory from both the algebraic and geometric viewpoints, and the fixed point theory of nonlinear operators on normed linear spaces and its applications.