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Behavior of Various Repetitive Methods in Approaching Solutions for Complex Transformations

Behavior of Various Repetitive Methods in Approaching Solutions for Complex Transformations

Paperback

General Computers

ISBN13: 9798223893943
Publisher: Independent Publisher
Published: Jan 17 2025
Pages: 202
Weight: 1.06
Height: 0.43 Width: 8.50 Depth: 11.00
Language: English

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 .

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General Computers