On the Existence of Solutions to Nonlinear Equations Involving Singular Mappings with Non-zero p-Kernel

被引：0
|
作者：
Agnieszka Prusińska
Alexey A. Tret’yakov
机构：
[1] Siedlce University of Natural Sciences and Humanities,Institute of Mathematics and Physics
[2] Polish Academy of Sciences,System Research Institute
[3] Russian Academy of Sciences,Dorodnicyn Computing Center
来源：
Set-Valued and Variational Analysis | 2011年 / 19卷
关键词：
-regularity; Singularity; Nonlinear mapping; Multimapping; Contraction; Factor operator; -kernel; 47H10; 47A50; 47J05; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper presents the continuation of the previous results devoted to the problem of solutions existence to nonlinear equations in singular case where a linear part of considered mapping determining the equation may be degenerate at the corresponding initial point. We study the case when the p-kernel of the mapping is non trivial. Such type of problems appears in various mathematical models and applications. The p-regularity theory is used in our analysis and some concepts and technics of set-valued approach.
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页码：399 / 416
页数：17
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