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Talk:Fixed-point theorem

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was not even connected with this page despite being called "fixed point theorem" in its Knowledge page and "fixed point lemma" in my class and readings. We could start with a general discussion of the theorems at the top and then fork off into the separate theorems below.
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model. My intuition tells me FPTs find applications in dynamic systems as well (a fixed point of a transition map is an equilibrium, ain't?) but this really should be written by a mathematician, preferably someone more from the side of teaching than research.
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It is custommary to write "fixed-point theorem", not "fixed point theorem". This is so because "fixed point theorem" might be read as "a fixed theorem about points". I suggest that there should be a redirection from
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It would be useful to have a couple of paragraphs outlining (and linking to) the many applications fixed-point theorems are. Brouwer's is necessary in many proofs related to noncooperative
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This page needs some organizing. As it stands, it may be a bit confusing. This is especially true because, in many contexts, a particular fixed point theorem is called
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on Knowledge. If you would like to participate, please visit the project page, where you can join
100: 211: 84: 63: 187: 178: 255: 230: 113: 247: 219: 191: 183: 90: 15: 233:, and Kakutani's involved in one of the versions of the 112:, a collaborative effort to improve the coverage of 282:Knowledge level-5 vital articles in Mathematics 8: 58: 272:Knowledge vital articles in Mathematics 60: 19: 287:C-Class vital articles in Mathematics 7: 177:fixed point theorem. I noticed the 106:This article is within the scope of 49:It is of interest to the following 297:High-priority mathematics articles 14: 126:Knowledge:WikiProject Mathematics 267:Knowledge level-5 vital articles 129:Template:WikiProject Mathematics 93: 83: 62: 29: 20: 146:This article has been rated as 277:C-Class level-5 vital articles 1: 192:20:01, 10 December 2007 (UTC) 120:and see a list of open tasks. 292:C-Class mathematics articles 220:09:57, 16 January 2009 (UTC) 197:Fixed-point vs. fixed point 313: 248:18:47, 23 March 2010 (UTC) 145: 78: 57: 152:project's priority scale 109:WikiProject Mathematics 262:C-Class vital articles 36:level-5 vital article 132:mathematics articles 235:General equilibrium 208:fixed-point theorem 204:fixed point theorem 210:, not vice versa. 101:Mathematics portal 45:content assessment 166: 165: 162: 161: 158: 157: 304: 134: 133: 130: 127: 124: 103: 98: 97: 87: 80: 79: 74: 66: 59: 42: 33: 32: 25: 24: 16: 312: 311: 307: 306: 305: 303: 302: 301: 252: 251: 227: 199: 171: 131: 128: 125: 122: 121: 99: 92: 72: 43:on Knowledge's 40: 30: 12: 11: 5: 310: 308: 300: 299: 294: 289: 284: 279: 274: 269: 264: 254: 253: 226: 223: 198: 195: 179:diagonal lemma 170: 167: 164: 163: 160: 159: 156: 155: 144: 138: 137: 135: 118:the discussion 105: 104: 88: 76: 75: 67: 55: 54: 48: 26: 13: 10: 9: 6: 4: 3: 2: 309: 298: 295: 293: 290: 288: 285: 283: 280: 278: 275: 273: 270: 268: 265: 263: 260: 259: 257: 250: 249: 245: 241: 236: 232: 224: 222: 221: 217: 213: 209: 205: 196: 194: 193: 189: 185: 180: 176: 168: 153: 149: 148:High-priority 143: 140: 139: 136: 119: 115: 111: 110: 102: 96: 91: 89: 86: 82: 81: 77: 73:High‑priority 71: 68: 65: 61: 56: 52: 46: 38: 37: 27: 23: 18: 17: 240:200.20.164.2 228: 200: 174: 172: 147: 107: 51:WikiProjects 34: 231:game theory 225:Aplications 123:Mathematics 114:mathematics 70:Mathematics 256:Categories 39:is rated 169:untitled 150:on the 41:C-class 47:scale. 212:Frege 184:Teply 28:This 244:talk 216:talk 188:talk 142:High 206:to 175:the 258:: 246:) 238:-- 218:) 190:) 242:( 214:( 186:( 154:. 53::

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level-5 vital article
content assessment
WikiProjects
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Mathematics
WikiProject icon
icon
Mathematics portal
WikiProject Mathematics
mathematics
the discussion
High
project's priority scale
diagonal lemma
Teply
talk
20:01, 10 December 2007 (UTC)
fixed point theorem
fixed-point theorem
Frege
talk
09:57, 16 January 2009 (UTC)
game theory
General equilibrium
200.20.164.2
talk
18:47, 23 March 2010 (UTC)
Categories
C-Class vital articles

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