摘要
将W.kirk最著名的结果:具有正规结构自反的Banach空间关于非扩张映射具有不动点性质,推广到更加一般的映射形式,即:‖T(x)-T(y)‖≤a 1(t)(d(x,y))‖x-y‖+a 2(t)(d(x,y))‖x-T(x)‖+a 3(t)(d(x,y))‖x-T(y)‖,其中∑3 i=1 a i(t)≤1,且a i(t):(0,+∞)→(0,1)单调递减,研究了具有正规结构自反的Banach空间关于上述映射具有不动点性质。
In this paper,the most famous result by W.kirk is that the non-expansive mapping has the fixed point property in a Banach space with normal structure reflexive is extended to a more general form of mapping,namely:‖T(x)-T(y)‖≤a 1(t)(d(x,y))‖x-y‖+a 2(t)(d(x,y))‖x-T(x)‖+a 3(t)(d(x,y))‖x-T(y)‖,where a i(t):(0,+∞)→(0,1)monotone decreases,a reflexive Banach space X with normal structure has the fixed point property for the mapping mentioned above.
作者
张少勇
朱鹏
ZHANG Shao-yong;ZHU Peng(School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2019年第5期145-148,共4页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11781181)
关键词
广义非扩张映射
正规结构
自反性
不动点性质
generalized non-expansive mapping
normal structure
reflexive
fixed point property
