Nearness, accretivity, and the solvability of nonlinear equations

被引：8

作者：

Buica, A

Domokos, A

机构：

[1] Univ Babes Bolyai, Dept Appl Math, R-3400 Cluj Napoca, Romania

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2002年 / 23卷 / 5-6期

关键词：

approximation; nearness; accretive operators; implicit function theorems; fully nonlinear PDE;

D O I：

10.1081/NFA-120014748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper our propose is to find a common term which is included in the assumptions of theorems proving existence of zeros, implicit functions, fixed points or coincidence points. This new point of view allows us to weaken the assumptions which guarantee the solvability of nonlinear equations and to recommend a possible unified treatment of several classes of operators which appear in the theory of nonlinear equations.

引用

页码：477 / 493

页数：17

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