Behavior of Various Repetitive Methods in Approaching Solutions for Complex Transformations

The most of the important solution of nonlinear problems of applied mathe- matics can be converted to finding the solutions of nonlinear operator equa- tions (e.g. a system of differential and integral equations, variational inequal- ities, image recovery, split feasibility problems, signal processing, control the- ory, convex optimization, approximation theory, convex feasibility, monotone inequality and differential inclusions etc.) which can be formulated in terms of fixed point problems (FPP). A point of a set Y which is invariant under any transformation S defined on Y into itself is called a fixed point or invari- ant point of that transformation S . Denote Fix(S ) as set of all fixed points of mapping S , Fix(S ) = {t ∈ Y: S (t) = t}, throughout in this thesis and assume that it is nonempty. The fixed point theorem is a statement that asserts that a self mapping S defined on the space Y having one or more fixed points under certain con- ditions on the mapping ace Y .

• | Author: Poesía
• | Publisher: Independent Publisher
• | Publication Date: Jan 17, 2025
• | Number of Pages: 00202 pages
• | Binding: Paperback or Softback
• | ISBN-10: NA
• | ISBN-13: 9798223893943