Variational Relation Problems and Simultaneous Relation Problems With Applications

• Main Authors: Sheng-Fan Yang, 楊勝帆
• Other Authors: Lai-Jiu Lin
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/89048375874643238482

碩士 === 國立彰化師範大學 === 數學系所 === 98 === The aim of this paper is to deal with variational relation problems, the existence theorems of solution for variational relation problems in locally convex topological vector space and simultaneous relation problem. As applications of our result, we study the existence theorems of solution for mix types of relation problem and variational relation problems, simultaneous variational inclusion problems, saddle points problems and generalized variational relation problems in locally convex topological vector space. We also show that the new equivalent forms of Fan-Kakutani, Glicksberg fixed point theorem.