Question

Does any analytic function from the unit disk to a compact subset of itself have a fixed point?

score 258 · Answer 1 · 2016-03-03 13:54:42

258

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Does any analytic function from the unit disk to a compact subset of itself have a fixed point?

Published on 03 Mar 2016 - 13:54

score 154 · Answer 2 · 2016-03-04 09:12:13

154

Views

Need help finding the smallest contraction constant.

Published on 04 Mar 2016 - 9:12

score 223 · Answer 3 · 2016-03-04 10:59:49

223

Views

Generalized Fixed Point Theorem

Published on 04 Mar 2016 - 10:59

score 219 · Answer 4 · 2026-03-30 19:04:26

219

Views

Establish the sufficient condition $|g'(x)| < 1$ for convergence of an iteration using the Banach fixed point theorem?

Published on 30 Mar 2026 - 19:04

score 421 · Answer 5 · 2026-03-25 18:25:12

421

Views

Contractive Operators on Compact Spaces

Published on 25 Mar 2026 - 18:25

score 296 · Answer 6 · 2016-03-05 18:46:51

296

Views

Finding an interval of convergence for a given $g(x)$

Published on 05 Mar 2016 - 18:46

score 96 · Answer 7 · 2026-02-28 23:01:26

96

Views

Every nonempty, compact convex set $M$ in a locally convex space has fixed point property

Published on 28 Feb 2026 - 23:01

score 120 · Answer 8 · 2016-03-07 17:41:06

120

Views

On the in-comparability of the Gauss-Seidel and Jacobi iteration schemes.

Published on 07 Mar 2016 - 17:41

score 153 · Answer 9 · 2016-03-14 19:47:31

153

Views

Quotient Spaces Defined By Bijection

Published on 14 Mar 2016 - 19:47

score 129 · Answer 10 · 2026-03-06 16:00:20

129

Views

Whether there exists some compact manifold whose continuous map must have a fixed point?

Published on 06 Mar 2026 - 16:00

score 93 · Answer 11 · 2026-03-26 04:30:52

93

Views

An inverse problem for a parabolic equation and fixed-point theorem

Published on 26 Mar 2026 - 4:30

score 30 · Answer 12 · 2016-03-16 18:37:22

30

Views

Prove that if $X=[0,1]$ and $T:X \to X$ is defined as below then $d(Tx, Ty) \le \alpha (d(x, Tx) + d(y,Ty))$.

Published on 16 Mar 2016 - 18:37

score 113 · Answer 13 · 2016-03-18 09:13:06

113

Views

Is every Boyd-Wong mapping also a contraction?

Published on 18 Mar 2016 - 9:13

score 129 · Answer 14 · 2016-03-19 18:07:41

129

Views

Number of fixed points of a meromorphic function

Published on 19 Mar 2016 - 18:07

score 1.7k · Answer 15 · 2016-03-22 13:07:58

1.7k

Views

connection between Newton’s method and fixed point iteration

Published on 22 Mar 2016 - 13:07

List Question

Does any analytic function from the unit disk to a compact subset of itself have a fixed point?

Need help finding the smallest contraction constant.

Generalized Fixed Point Theorem

Establish the sufficient condition $|g'(x)| < 1$ for convergence of an iteration using the Banach fixed point theorem?

Contractive Operators on Compact Spaces

Finding an interval of convergence for a given $g(x)$

Every nonempty, compact convex set $M$ in a locally convex space has fixed point property

On the in-comparability of the Gauss-Seidel and Jacobi iteration schemes.

Quotient Spaces Defined By Bijection

Whether there exists some compact manifold whose continuous map must have a fixed point?

An inverse problem for a parabolic equation and fixed-point theorem

Prove that if $X=[0,1]$ and $T:X \to X$ is defined as below then $d(Tx, Ty) \le \alpha (d(x, Tx) + d(y,Ty))$.

Is every Boyd-Wong mapping also a contraction?

Number of fixed points of a meromorphic function

connection between Newton’s method and fixed point iteration

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