Coincidence Points and Generalized Coincidence Points of Two Set-Valued Mappings

被引：3

作者：

Arutyunov, A. V. ^{[1
,2
]}

Zhukovskiy, E. S. ^{[3
]}

Zhukovskiy, S. E. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Trapeznikov Inst Control Sci, Ul Profsoyuznaya 65, Moscow 117997, Russia

[2] Russian Acad Sci, Kharkevich Inst, Inst Informat Transmiss Problems, Bolshoi Karetnyi Per 19,Str 1, Moscow 127051, Russia

[3] Derzhavin Tambov State Univ, Int Naya Ul 33, Tambov 392000, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2020年 / 308卷 / 01期

基金：

俄罗斯基础研究基金会; 俄罗斯科学基金会;

关键词：

COVERING MAPPINGS; METRIC-SPACES; EQUATIONS;

D O I：

10.1134/S0081543820010034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider set-valued mappings acting in metric spaces and show that, under natural general assumptions, the set of coincidence points of two such mappings one of which is covering and the other is Lipschitz continuous is dense in the set of generalized coincidence points of these mappings. We use this result to study the coincidence points and generalized coincidence points of a set-valued covering mapping and a set-valued Lipschitz mapping that depend on a parameter. In particular, we obtain conditions that guarantee the existence of a coincidence point for all values of the parameter under the assumption that a coincidence point exists for one value of the parameter.

引用

页码：35 / 41

页数：7

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