Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces  

作　　者：WU Zhao-qi ZHANG Lin ZHU Chuan-xi YUAN Cheng-gui 

机构地区：[1]^Department of Mathematics,Nanchang University,Nanchang 330031,China [2]Institute of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China [3]Department of Mathematics,Swansea University,Singleton Park,SA28PP,UK

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2022年第4期494-512,共19页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(12161056,11701259,11771198);Natural Science Foundation of Jiangxi Province of China(20202BAB201001).

摘　　要：In this paper,we introduce the concept of comparable T-completeness of a partially ordered Menger PM-space and discuss the existence of fixed points for mappings satisfying certain conditions in the framework of a comparable T-complete partially ordered Menger PM-space.We obtain some new results which generalize many known ones in the literature.Moreover,we derive some consequent results and give an example to illustrate our main result.

关 键 词：Menger PM-space fixed point constraint inequalities partial order implicit contraction 

分 类 号：O189.11[理学—数学] O177.91[理学—基础数学]