度量空间上A-收缩映射的不动点定理的改进  

Improvements of Fixed Point Theorems for Mappings with A-Contractions on Metric Spaces

作　　者：朴勇杰[1] Piao Yongjie(Department of Mathematics,College of Science,Yanbian University,Jilin Yanji 133002)

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《数学物理学报（A辑）》2018年第5期855-863,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11361064)~~

摘　　要：引进新的三元函数类A~*改进已知的A-收缩条件并给出一个映射的不动点和一族映射的公共不动点存在定理,同时讨论具有两个度量的非空集合上自映射在非连续和非完备下的不动点存在性问题.所得结论推广和改进了很多已知结论.In this paper we introduce a new class A＊ of 3-dimensional functions, which is a generalization of a known class A, obtain a fixed point theorem for a mapping and a common fixed point theorem for a infinite family of mappings, and discuss the existence problems of fixed points for a mapping on a nonernpty set with two metrics under the non-continuity and non-cornpleteness. The obtained results generalize and improve many known conclusions.

关 键 词：类A 类A^＊ (公共)不动点 

分 类 号：O177.91[理学—数学]