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Convergence of fixed-point iterations for a nonsmooth mapping

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#fixed-point-theorems
221
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Brouwer fixed point theorem : continuous case

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#differential-topology #smooth-manifolds #fixed-point-theorems
152
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Looking for help in understanding a proof of the fixed point lemma in mathematical logic.

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#logic #first-order-logic #predicate-logic #fixed-point-theorems
197
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Convergence of fixed points of a sequence uniformly convergent.

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#general-topology #metric-spaces #fixed-point-theorems #complete-spaces #fixed-points
53
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How to find bounds of solution to fixed point problem

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#systems-of-equations #fixed-point-theorems #implicit-function
140
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Decreasing function and fixed point

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#real-analysis #fixed-point-theorems
524
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Sequence of contraction mapping and convergence of fixed point

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#functional-analysis #fixed-point-theorems #contraction-operator #arzela-ascoli
90
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Show the fixed point function is differentiable to parameter

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#functional-analysis #fixed-point-theorems
76
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Banach Fixed point theorem for ode

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#ordinary-differential-equations #fixed-point-theorems
87
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Non-trivial solution of $x = r\sin\pi x$

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#trigonometry #fixed-point-theorems #functional-inequalities #fixed-points #nonlinear-analysis
117
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How would one describe $k$ iterations of $\cos(n)$?

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#limits #trigonometry #fixed-point-theorems #wave-equation #desmos
450
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Showing that a function in a compact metric space $X$ has a unique fixed point.

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#real-analysis #sequences-and-series #compactness #fixed-point-theorems
154
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Difficulty showing that if $T:X\to X$ satisfies $\rho(T(u),T(v))\lt\rho(u,v)$ then $T$ must have a fixed point if $(X,\rho)$ is a compact metric space

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#general-topology #metric-spaces #fixed-point-theorems #contraction-operator
25
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How does the power of discrete-time maps propagate compared to the continuous-time system?

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#fixed-point-theorems #discrete-time
65
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Prove $|\sqrt{x^2+1}-\sqrt{y^2+1}| < |x-y|$ when $x\neq y$

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#real-analysis #fixed-point-theorems

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