典型文献
Best Proximity Point Theorems for p-Proximal α-η-β-Quasi Contractions in Metric Spaces with w0-Distance
文献摘要：
In this paper,we propose a new class of non-self mappings called p-proximal α-η-β-quasi contraction,and introduce the concepts of α-proximal admissible mapping with respect to η and (α,d) regular mapping with respect to η.Based on these new notions,we study the existence and uniqueness of best proximity point for this kind of new contractions in metric spaces with wo-distance and obtain a new theorem,which generalize and complement the results in[Ayari,M.I.et al.Fixed Point Theory Appl.,2017,2017:16]and[Ayari,M.I.et al.Fixed Point Theory Appl.,2019,2019:7].We give an example to show the validity of our main result.Moreover,we obtain several consequences concerning about best proximity point and common fixed point results for two mappings,and we present an application of a corollary to discuss the solutions to a class of systems of Volterra type integral equations.
文献关键词：
中图分类号：
作者姓名：
Mengdi LIU;Zhaoqi WU;Chuanxi ZHU;Chenggui YUAN
作者机构：
Department of Mathematics,Nanchang University,Jiangxi 330031,P.R.China;Department of Mathematics,Swansea University,Singleton Park SA28PP,UK
文献出处：
引用格式：
[1]Mengdi LIU;Zhaoqi WU;Chuanxi ZHU;Chenggui YUAN-.Best Proximity Point Theorems for p-Proximal α-η-β-Quasi Contractions in Metric Spaces with w0-Distance)[J].数学研究及应用,2022(01):95-110
A类：
Contractions,Ayari
B类：
Best,Proximity,Point,Theorems,Proximal,Quasi,Metric,Spaces,w0,Distance,In,this,paper,we,propose,new,class,self,mappings,called,proximal,quasi,introduce,concepts,admissible,respect,regular,Based,these,notions,study,existence,uniqueness,best,proximity,point,kind,contractions,metric,spaces,distance,obtain,theorem,which,generalize,complement,results,Fixed,Theory,Appl,We,give,example,show,validity,our,main,Moreover,several,consequences,concerning,about,common,fixed,two,present,application,corollary,discuss,solutions,systems,Volterra,type,integral,equations
AB值：
0.596789
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