Proceedings of the American Mathematical Society · 1991 · 56 citations · 6 references
Riemann-hilbert ProblemPerturbation MethodSingularly Perturbed ProblemFixed Point ApproachMild ConditionsNew InsightsGeometric Singular Perturbation TheoryFixed Point ProblemNonlinear Functional Analysis
We show that the problem addressed by classical homological perturbation theory can be reformulated as a fixed point problem leading to new insights into the nature of its solutions. We show, under mild conditions, that the solution is essentially unique.
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