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A-proper映射正不动点存在的边界条件
引用本文:孔文波,丁协平.A-proper映射正不动点存在的边界条件[J].四川师范大学学报(自然科学版),1991(2).
作者姓名:孔文波  丁协平
作者单位:四川师范大学数学系,四川师范大学数学系
摘    要:Petryshyn(1987)得到了 A-proper 类映射正解存在的最一般的边界条件,本文利用全连续算子的延拓定理改进了这类边界条件,且去掉了边界条件中的拟正规常数,解决了这个一直尚待解决的问题.

关 键 词:A-proper映射  不动点指数  k-集压缩映射

THE BOUNDARY CONDITIONS OF EXISTENCE OF POSITIVE SOLUTIONS OF A-PROPER MAPPINGS EQUATIONS
Kong Wenbo,Ding Xieping.THE BOUNDARY CONDITIONS OF EXISTENCE OF POSITIVE SOLUTIONS OF A-PROPER MAPPINGS EQUATIONS[J].Journal of Sichuan Normal University(Natural Science),1991(2).
Authors:Kong Wenbo  Ding Xieping
Institution:Kong Wenbo;Ding Xieping Department of Mathematics
Abstract:Petryshyn(1987)obtained the most general boundary conditions of existence of postive fixed points.We improve in this paper the boundary conditions which do not include the quasinormality constant and extend Petryshyn's results.
Keywords:A-proper map  fixed point index  k-set-contractive map
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