Applications of Fixed-Point Theorem : Extending Classical Results to Modern Frameworks (Industrial and Applied Mathematics)

Tomar, Anita (EDT)/ Jain, Manish (EDT)

Springer Verlag, Singapore（2026/02発売）

• 製本 Hardcover:ハードカバー版／ページ数 297 p.
• 言語 ENG
• 商品コード 9789819551590

Full Description

This contributed volume contains chapters on various fixed-point theorems, including those in metric, b-metric and partial metric spaces. The book addresses the need for rigorous analytical methods in optimization, computational mathematics and applied sciences. By offering innovative solutions through iterative schemes and contraction principles, it bridges the gap between abstract mathematical principles and practical problem-solving approaches. The concept of fixed points has deep mathematical significance, influencing both theoretical frameworks and real-world applications. The book highlights the applications of fixed-point theory, presenting fundamental concepts and modern advancements, in diverse fields such as traffic control systems, stock market analysis, iterative algorithms and differential equations.

Contents

Handling Chaos and Improving the Traffic Control System.- Unlocking Stock Market Dynamics An Application of Fixed Point Theory with Moving Averages and Technical Analysis.- A Symmetric Contraction In and Coupled Coincidence Points.- On S Polynomial Type Contractions in S-Metric Spaces and Fixed Point Results.- Common Fixed Points for Asymptotically Regular Kannan Ν Lipschitzian Semigroup in the Variable Exponent Sequence Spaces.- General Common Fixed Point Results in b Metric Space and Applications.- SPK Iterative Algorithm for Monotone Nonexpansive Mappings Convergence and Applications.- Probabilistic Contraction Result Involving Functionals in Menger Space and Heat Equation.- Common Fixed Point Theorems of Type Weak Contractions in Cone b Metric Spaces with an Application.- Fixed Points of Closed Graph Operators on Partial Metric Spaces.- Some Common Fixed Point Theorems for Hardy Rogers Type Contraction in Complete Cone b Metric Spaces.- Generalized Weak Integral Contractive Condition with an Application.- Advancements in the Banach Contraction Principle within Metric Spaces.- Admissible Mappings with Implicit Relations in Metric Spaces.- New Fixed Point Results with Hybrid Interpolative Reich Istratescu Type Contractions on S Metric Spaces.- On Fixed Points ofαqsp βqsp ϕ Hybrid Contraction in b Metric Spaces.- Best Proximity Points Theorems of Generalized Proximal Contractive Mappings with Applications.