Fixed-point theorems

@inproceedings{Zeidler1986FixedpointT,
  title={Fixed-point theorems},
  author={Eberhard H. Zeidler and P. Wadsack},
  year={1986}
}
Fundamental Fixed-Point Principles.- 1 The Banach Fixed-Point Theorem and Iterative Methods.- 1.1. The Banach Fixed-Point Theorem.- 1.2. Continuous Dependence on a Parameter.- 1.3. The Significance of the Banach Fixed-Point Theorem.- 1.4. Applications to Nonlinear Equations.- 1.5. Accelerated Convergence and Newton's Method.- 1.6. The Picard-Lindelof Theorem.- 1.7. The Main Theorem for Iterative Methods for Linear Operator Equations.- 1.8. Applications to Systems of Linear Equations.- 1.9… 
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References

SHOWING 1-3 OF 3 REFERENCES
Linear Operators. Part I: General Theory.
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more
Advanced Infinitesimal Calculus (Hebrew)
    Modern Analysis (Bar-Ilan course)