03771nam 2200613 450 991082826110332120170822144424.01-4704-0214-9(CKB)3360000000464809(EBL)3114473(SSID)ssj0000889244(PQKBManifestationID)11499147(PQKBTitleCode)TC0000889244(PQKBWorkID)10876427(PQKB)11725481(MiAaPQ)EBC3114473(RPAM)3073338(PPN)195415094(EXLCZ)99336000000046480919971112h19981998 uy| 0engur|n|---|||||txtccrThe study of minimax inequalities and applications to economies and variational inequalities /George Xian-Zhi YuanProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (157 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 625"March 1998, volume 132, number 625 (first of 5 numbers)."0-8218-0747-1 Includes bibliographical references (pages 132-140).""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""""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""""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""""7.4. Some Remarks on Random Analysis""""8. Conclusion Remarks""; ""9. Reference""Memoirs of the American Mathematical Society ;no. 625.Nonlinear functional analysisMaxima and minimaVariational inequalities (Mathematics)Nonlinear functional analysis.Maxima and minima.Variational inequalities (Mathematics)510 s515/.64Yuan George Xian-Zhi1965-117960MiAaPQMiAaPQMiAaPQBOOK9910828261103321The study of minimax inequalities and applications to economies and variational inequalities4070240UNINA