LEADER 03771nam 2200613 450 001 9910828261103321 005 20170822144424.0 010 $a1-4704-0214-9 035 $a(CKB)3360000000464809 035 $a(EBL)3114473 035 $a(SSID)ssj0000889244 035 $a(PQKBManifestationID)11499147 035 $a(PQKBTitleCode)TC0000889244 035 $a(PQKBWorkID)10876427 035 $a(PQKB)11725481 035 $a(MiAaPQ)EBC3114473 035 $a(RPAM)3073338 035 $a(PPN)195415094 035 $a(EXLCZ)993360000000464809 100 $a19971112h19981998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe study of minimax inequalities and applications to economies and variational inequalities /$fGeorge Xian-Zhi Yuan 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998] 210 4$dİ1998 215 $a1 online resource (157 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 625 300 $a"March 1998, volume 132, number 625 (first of 5 numbers)." 311 $a0-8218-0747-1 320 $aIncludes bibliographical references (pages 132-140). 327 $a""Contents""; ""0. Introduction""; ""Chapter 1. The KKM Principle related t o Ky Fan Minimax Inequalities and Fixed Point Theorems""; ""1.1. The Ky Fan Minimax Inequality-I""; ""1.2. The Ky Fan Minimax Inequality-II""; ""1.3. The Ky Fan-Majorized (KF)-Mappings and Maximal Elements""; ""Chapter 2. Equilibria of Abstract Economics in Hausdorff Topological Vector Spaces""; ""2.1. Some Properties of Set-Valued Mappings""; ""2.2. Equilibria in Topological Vector Spaces""; ""2.3. Approximate Equilibria in Topological Vector Spaces"" 327 $a""Chapter 3. Equilibria of Abstract Economics in Locally Convex Topological Vector Spaces""""3.1. Equilibria involving KF-Majorized Mappings""; ""3.2. Equilibria Involving Upper Semicontinuous Mappings""; ""Chapter 4. Equilibria in Frechet Spaces""; ""4.1. Equilibria for Condensing Mappings in Frechet Spaces""; ""4.2. Equilibria in Banach Spaces""; ""4.3. Equilibria in Finite Dimensional Spaces""; ""Chapter 5. Equilibria in Topological Spaces and Some Applications""; ""5.1. Maximal Elements in Topological Spaces""; ""5.2. Equilibria of General Abstract Economics in Topological Spaces"" 327 $a""5.3. Applications to the System of Generalized Quasi-Variational Inequalities""""5.4. Applications to the System of Ky Fan Minimax Inequalities""; ""Chapter 6. Maximal Elements and Coincidence Theorems in Product Topological Spaces""; ""6.1. Introduction""; ""6.2. Maximal Elements for Couple-Majorized Families""; ""6.3. Coincidence Theorems in Product Spaces""; ""Chapter 7. Random Abstract Economics and Applications""; ""7.1. Introduction""; ""7.2. Random Abstract Economics""; ""7.3. Applications to the System of Random Generalized Quasi-Variational Inequalities"" 327 $a""7.4. Some Remarks on Random Analysis""""8. Conclusion Remarks""; ""9. Reference"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 625. 606 $aNonlinear functional analysis 606 $aMaxima and minima 606 $aVariational inequalities (Mathematics) 615 0$aNonlinear functional analysis. 615 0$aMaxima and minima. 615 0$aVariational inequalities (Mathematics) 676 $a510 s 676 $a515/.64 700 $aYuan$b George Xian-Zhi$f1965-$0117960 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828261103321 996 $aThe study of minimax inequalities and applications to economies and variational inequalities$94070240 997 $aUNINA