A zero of a proper mapping
A zero of a proper mapping
Sufficient conditions are given to assert that a differentiable proper Fredholm mapping between Banach spaces over K = R or K = C has a zero. The proof of the result is constructive and is based upon continuation methods.
Dirección General de Enseñanza Superior
Junta de Andalucia
- University of Seville Spain
Zero point, \(C^1\)-homotopy, Banach fixed point theorem, Compact mapping, Numerical computation of solutions to systems of equations, C1−homotopy, Fredholm mapping, proper mapping, continuation methods, zero point, Banach Fixed Point Theorem, compact mapping, Continuation methods, Fixed-point theorems, Proper mapping, frontier condition, Fixed-point theorems on manifolds, Frontier condition
Zero point, \(C^1\)-homotopy, Banach fixed point theorem, Compact mapping, Numerical computation of solutions to systems of equations, C1−homotopy, Fredholm mapping, proper mapping, continuation methods, zero point, Banach Fixed Point Theorem, compact mapping, Continuation methods, Fixed-point theorems, Proper mapping, frontier condition, Fixed-point theorems on manifolds, Frontier condition
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