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	<updated>2026-05-23T18:15:44Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<updated>2023-02-20T12:12:21Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported from &lt;a href=&quot;https://alpha.indicwiki.in/index.php?title=Template:Convex_analysis_and_variational_analysis&quot; class=&quot;extiw&quot; title=&quot;alpha:Template:Convex analysis and variational analysis&quot;&gt;alpha:Template:Convex_analysis_and_variational_analysis&lt;/a&gt;&lt;/p&gt;
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		<id>https://www.vigyanwiki.in/index.php?title=Template:Convex_analysis_and_variational_analysis&amp;diff=92054&amp;oldid=prev</id>
		<title>alpha&gt;Indicwiki: Created page with &quot;{{Navbox | name = Convex analysis and variational analysis | title = Convex analysis and variational analysis | state = {{{state|&lt;noinclude&gt;uncollapsed autocollapse ex...&quot;</title>
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		<updated>2023-02-13T06:07:21Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Navbox | name = Convex analysis and variational analysis | title = &lt;a href=&quot;/index.php?title=Convex_analysis&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Convex analysis (page does not exist)&quot;&gt;Convex analysis&lt;/a&gt; and &lt;a href=&quot;/index.php?title=Variational_analysis&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Variational analysis (page does not exist)&quot;&gt;variational analysis&lt;/a&gt; | state = {{{state|&amp;lt;noinclude&amp;gt;uncollapsed autocollapse ex...&amp;quot;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:37, 13 February 2023&lt;/td&gt;
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		<updated>2022-12-07T08:56:04Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:26, 7 December 2022&lt;/td&gt;
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		<title>wikipedia&gt;Mgkrupa at 04:01, 3 September 2022</title>
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		<updated>2022-09-03T04:01:01Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Navbox&lt;br /&gt;
| name = Convex analysis and variational analysis&lt;br /&gt;
| title = [[Convex analysis]] and [[variational analysis]]&lt;br /&gt;
| state = {{{state|&amp;lt;noinclude&amp;gt;uncollapsed autocollapse expanded&amp;lt;/noinclude&amp;gt;&amp;lt;includeonly&amp;gt;autocollapse&amp;lt;/includeonly&amp;gt;}}}&lt;br /&gt;
&amp;lt;!-- | state = {{{state|{{{1|}}}}}} --&amp;gt;&lt;br /&gt;
| image = &lt;br /&gt;
| bodyclass = hlist&lt;br /&gt;
| selected = {{{1}}}&lt;br /&gt;
| above =&lt;br /&gt;
&lt;br /&gt;
 | group1 = Basic concepts&lt;br /&gt;
 | list1 = &lt;br /&gt;
* [[Convex combination]]&lt;br /&gt;
* [[Convex function]]&lt;br /&gt;
* [[Convex set]]&lt;br /&gt;
&lt;br /&gt;
 | group4 = [[List of convexity topics|Topics (list)]]&lt;br /&gt;
 | list4 = &lt;br /&gt;
* [[Choquet theory]]&lt;br /&gt;
* [[Convex geometry]]&lt;br /&gt;
* [[Convex metric space]]&lt;br /&gt;
* [[Convex optimization]]&lt;br /&gt;
* [[Duality (optimization)|Duality]]&lt;br /&gt;
* [[Lagrange multiplier]]&lt;br /&gt;
* [[Legendre transformation]]&lt;br /&gt;
* [[Locally convex topological vector space]]&lt;br /&gt;
* [[Simplex]]&lt;br /&gt;
&lt;br /&gt;
 | group7 = Maps&lt;br /&gt;
 | list7 = &lt;br /&gt;
* [[Convex conjugate]]&lt;br /&gt;
* [[Concave function|Concave]]&lt;br /&gt;
* ([[Closed convex function|Closed]]&lt;br /&gt;
* [[K-convex function|K-]]&lt;br /&gt;
* [[Logarithmically convex function|Logarithmically]]&lt;br /&gt;
* [[Proper convex function|Proper]]&lt;br /&gt;
* [[Pseudoconvex function|Pseudo-]] &lt;br /&gt;
* [[Quasiconvex function|Quasi-]]) [[Convex function]]&lt;br /&gt;
* [[Invex function]]&lt;br /&gt;
* [[Legendre transformation]]&lt;br /&gt;
* [[Semi-continuity]]&lt;br /&gt;
* [[Subderivative]]&lt;br /&gt;
&lt;br /&gt;
| group17 = Sets&lt;br /&gt;
| list17 =&lt;br /&gt;
* [[Convex hull]]&lt;br /&gt;
* ([[Pseudoconvexity|Pseudo-]]) [[Convex set]]&lt;br /&gt;
* [[Effective domain]]&lt;br /&gt;
* [[Epigraph (mathematics)|Epigraph]]&lt;br /&gt;
* [[Hypograph (mathematics)|Hypograph]]&lt;br /&gt;
* [[John ellipsoid]]&lt;br /&gt;
* [[Lens (geometry)|Lens]]&lt;br /&gt;
* [[Radial set]]/[[Algebraic interior]]&lt;br /&gt;
* [[Zonotope]]&lt;br /&gt;
&lt;br /&gt;
 | group15 = Main [[:Category:Theorems involving convexity|results (list)]]&lt;br /&gt;
 | list15 =&lt;br /&gt;
* [[Carathéodory's theorem (convex hull)|Carathéodory's theorem]]&lt;br /&gt;
* [[Ekeland's variational principle]]&lt;br /&gt;
* [[Fenchel–Moreau theorem]]&lt;br /&gt;
* [[Fenchel-Young inequality]]&lt;br /&gt;
* [[Jensen's inequality]]&lt;br /&gt;
* [[Hermite–Hadamard inequality]]&lt;br /&gt;
* [[Krein–Milman theorem]]&lt;br /&gt;
* [[Mazur's lemma]]&lt;br /&gt;
* [[Shapley–Folkman lemma]]&lt;br /&gt;
* [[Ursescu theorem#Robinson–Ursescu theorem|Robinson-Ursescu]]&lt;br /&gt;
* [[Ursescu theorem#Simons' theorem|Simons]]&lt;br /&gt;
* [[Ursescu theorem|Ursescu]]&lt;br /&gt;
&lt;br /&gt;
| group27 = Series&lt;br /&gt;
| list27 =&lt;br /&gt;
* [[Convex series#Types of subsets|Convex series related]] ([[Convex series#Types of subsets|(cs, lcs)-closed]], [[Convex series#Types of subsets|(cs, bcs)-complete]], [[Convex series#Types of subsets|(lower) ideally convex]], [[Convex series#Types of subsets|(H''x'')]], and [[Convex series#Types of subsets|(Hw''x'')]])&lt;br /&gt;
&lt;br /&gt;
| group40 = [[Duality (optimization)|Duality]]&lt;br /&gt;
| list40 = &lt;br /&gt;
* [[Dual system]]&lt;br /&gt;
* [[Duality gap]]&lt;br /&gt;
* [[Strong duality]]&lt;br /&gt;
* [[Weak duality]]&lt;br /&gt;
&lt;br /&gt;
}}&amp;lt;noinclude&amp;gt;&lt;br /&gt;
{{Documentation&lt;br /&gt;
 | content =&lt;br /&gt;
{{Collapsible option |statename=optional}}&lt;br /&gt;
}}&lt;br /&gt;
[[Category:Mathematics navigational boxes]]&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>wikipedia&gt;Mgkrupa</name></author>
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