KY FAN TYPE BEST APPROXIMATION THEOREM FOR A CLASS OF FACTORIZABLE MULTIFUNCTIONS  

作　　者：Hemant Kumar Nashine Zoran D. Mitrovic 

机构地区：[1]Disha Insititute of Management and Technology [2]University of Banjia Luka

出　　处：《Analysis in Theory and Applications》2012年第2期101-110,共10页分析理论与应用（英文刊）

摘　　要：An existence result on Ky Fan type best approximation is proved. For this pur- pose, a class of factorizable multifunctions and the other one being a demicontinuous, rela- tive almost quasi-convex, onto function on an approximately weakly compact, convex sub- set of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani[8] and many others.An existence result on Ky Fan type best approximation is proved. For this pur- pose, a class of factorizable multifunctions and the other one being a demicontinuous, rela- tive almost quasi-convex, onto function on an approximately weakly compact, convex sub- set of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani[8] and many others.

关 键 词：Almost affine almost quasi convex approximately weakly compact best ap-proximation demicontinuous map locally convex space relative almost quasiconvex Kakutani factorizable multifunction upper semicontinuous map 

分 类 号：O174.41[理学—数学] TP334.8[理学—基础数学]