Librería Samer Atenea
Kálamo Books
Librería Elías (Asturias)
Librería Kolima (Madrid)
Librería Proteo (Málaga)
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 Sˆ defined on Y into itself is called a fixed point or invari- ant point of that transformation Sˆ. Denote Fix(Sˆ) as set of all fixed points of mapping Sˆ, Fix(Sˆ) = {t ∈ Y : Sˆ(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 Sˆ defined on the space Y having one or more fixed points under certain con- ditions on the mapping ace Y .
