一类g-可比较算子方程的可解性定理  

Some Theorems of Solvability for a Class of g-Comparable Operator Equations

作　　者：尹建东[1] 郭挺[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《应用泛函分析学报》2012年第4期338-345,共8页Acta Analysis Functionalis Applicata

基　　金：江西省自然科学基金(20114BAB201006);江西省教育厅基金(GJJ11295)

摘　　要：本文在半序度量空间中引进了g-可比较算子和耦合不动点和g-不动点这些新概念,研究了g-可比较算子的g-耦合不动点或g-不动点存在性问题,得到了几个存在性定理.所得结论推广了最近一些文献中的主要结果.In the work,some new concepts such as g-comparable operator and g-coupled fixed point(g-fixed point) are introduced in the partial order metric spaces,and some nonlinear problems of existence of the g-coupled fixed point or g-fixed point for a class of g-comparable operators are studied.Meanwhile,some new results are proved.The presented results in this work generalize some corresponding results in recent papers.

关 键 词：半序度量空间 g-可比较算子 g-耦合不动点 修改的距离函数 

分 类 号：O177.91[理学—数学]