Fixed Point Theory and Functional Analysis
eBook - ePub

Fixed Point Theory and Functional Analysis

Metric Spaces, Banach Spaces, Hilbert Spaces

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Fixed Point Theory and Functional Analysis

Metric Spaces, Banach Spaces, Hilbert Spaces

About this book

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.

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Yes, you can access Fixed Point Theory and Functional Analysis by Pradip Debnath,Hari Mohan Srivastava,Yeol Je Cho in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2025
eBook ISBN
9783112215937
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Frontmatter
  5. Contents
  6. 1 From Banach to Rus–Hicks–Rhoades: A history of contraction nappings
  7. 2 On the fixed points of Hardy–Rogers and Ćirić–Reich–Rus-type interpolative cyclic contraction in b-metric spaces and rectangular b-metric spaces
  8. 3 Hybrid-type fixed-point results on S-metric spaces
  9. 4 Refinements and reverses of Jensen tensorial inequality for twice differentiable functions of selfadjoint operators in Hilbert spaces
  10. 5 Summation formulas as modular relations
  11. 6 Some geometric properties on Banach lattices
  12. 7 The nonlinear principles and fixed-point theorems for non-self 𝔉 contraction and non-expansive set-valued mappings by applying Caristi fixed-point theorem in locally complete convex spaces
  13. 8 On the order of convergence of a Traub-type method
  14. 9 Some fixed-point results for expansive mappings in G-metric spaces
  15. 10 Extended Kantorovich’s results on Newton’s method for solving generalized equations on Hilbert space
  16. 11 Integral-type Berezin radius inequalities
  17. 12 Local convergence analysis of a hybrid Gauss–Newton method under a majorant condition
  18. 13 Extended convergence region for a family of King–Traub methods for solving nonlinear equations
  19. 14 New integral inequalities for Atangana–Baleanu fractional integrals via (h,m)-convex functions
  20. 15 Analysis of fixed-point theory in the setting of non-Archimedean fuzzy-b-metric spaces
  21. 16 Fixed points of set-valued generalized rational graphic ϕ-contractive operators in semi-metric spaces
  22. 17 A new generalization of Kannan’s fixed-point theorem via simple F-contraction
  23. Index
  24. Subject Index