Applications of Fixed-Point Theorem
Extending Classical Results to Modern Frameworks
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Beschreibung
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.
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.
Provides a comprehensive study of various fixed-point theorems, such as in metric, b-metric and partial metric spaces Addresses the need for rigorous analytical methods in optimization, computational mathematics and applied sciences Discusses applications in traffic systems, stock market analysis, iterative algorithms and differential equations
Autor*in
Anita Tomar
Themen in »Applications of Fixed-Point Theorem«
fixed point theorem nonlienar systems dynamical systems iteration fractals fixed figures chaos traffic control systems stock market Lipschitzian semigroup menger space heat eqution Circtype weak contractions graph operators partial metric space