Question

Is the (pre)image of a convex set under a maximal monotone operator convex?

score 235 · Answer 1 · 2026-04-25 08:49:03

235

Views

Is the (pre)image of a convex set under a maximal monotone operator convex?

Published on 25 Apr 2026 - 8:49

score 1.4k · Answer 2 · 2026-04-16 06:55:09

1.4k

Views

If a convex set $S \subseteq R^n$ contains no ray, can you show that it's bounded?

Published on 16 Apr 2026 - 6:55

score 102 · Answer 3 · 2026-04-15 08:51:05

102

Views

Uniform convergence of convex continuous functions in $\mathbb{R}^3$

Published on 15 Apr 2026 - 8:51

score 244 · Answer 4 · 2026-04-12 18:54:47

244

Views

Proving a Property of Convex Cones

Published on 12 Apr 2026 - 18:54

score 78 · Answer 5 · 2026-04-11 21:40:26

78

Views

Basic question about the invertibility of a function $F: \mathbb{R}^2 \to \mathbb{R}^2$

Published on 11 Apr 2026 - 21:40

score 2k · Answer 6 · 2026-04-16 07:53:30

2k

Views

Convex sets of real numbers

Published on 16 Apr 2026 - 7:53

score 317 · Answer 7 · 2026-04-15 03:32:10

Let $f:\mathbb{R}^n\rightarrow\mathbb{R}$ be differenciable and $[\nabla f(y)-\nabla f(x)]\cdot (y-x)\ge 0$. Is $f$ a convex fuucntion?

score 1.4k · Answer 8 · 2026-04-17 14:29:41

1.4k

Views

Convex conjugate of perspective

Published on 17 Apr 2026 - 14:29

score 1k · Answer 9 · 2026-04-13 00:23:02

1k

Views

Express the conjugate of $g(x)=\inf_zf(x,z)$ in terms of $f^*(x,z)$

Published on 13 Apr 2026 - 0:23

score 3.2k · Answer 10 · 2026-04-11 20:55:13

3.2k

Views

Mean value theorem for convex functions

Published on 11 Apr 2026 - 20:55

score 383 · Answer 11 · 2026-04-09 16:49:32

383

Views

Constructing a convex function with prescribed Hessians at two given points

Published on 09 Apr 2026 - 16:49

score 1.1k · Answer 12 · 2026-04-17 09:33:08

1.1k

Views

Any convex set is pre-image of a convex set under a convex function

Published on 17 Apr 2026 - 9:33

score 464 · Answer 13 · 2026-04-16 02:29:08

464

Views

$\prod_{i=1}^n x_i^{\alpha_i}$ is neither convex nor concave when $\sum_i \alpha_i > 1$

Published on 16 Apr 2026 - 2:29

score 263 · Answer 14 · 2026-04-11 07:49:19

263

Views

How can I prove that the set of nondifferentiable points of a convex function is countale?

Published on 11 Apr 2026 - 7:49

score 1.5k · Answer 15 · 2026-04-15 07:10:57

1.5k

Views

How to characterize functions that map convex sets to convex sets?

Published on 15 Apr 2026 - 7:10

List Question

Is the (pre)image of a convex set under a maximal monotone operator convex?

If a convex set $S \subseteq R^n$ contains no ray, can you show that it's bounded?

Uniform convergence of convex continuous functions in $\mathbb{R}^3$

Proving a Property of Convex Cones

Basic question about the invertibility of a function $F: \mathbb{R}^2 \to \mathbb{R}^2$

Convex sets of real numbers

Let $f:\mathbb{R}^n\rightarrow\mathbb{R}$ be differenciable and $[\nabla f(y)-\nabla f(x)]\cdot (y-x)\ge 0$. Is $f$ a convex fuucntion?

Convex conjugate of perspective

Express the conjugate of $g(x)=\inf_zf(x,z)$ in terms of $f^*(x,z)$

Mean value theorem for convex functions

Constructing a convex function with prescribed Hessians at two given points

Any convex set is pre-image of a convex set under a convex function

$\prod_{i=1}^n x_i^{\alpha_i}$ is neither convex nor concave when $\sum_i \alpha_i > 1$

How can I prove that the set of nondifferentiable points of a convex function is countale?

How to characterize functions that map convex sets to convex sets?

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