On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator

被引：2

作者：

Teodorescu, Dinu ^{[1
,2
]}

Hussain, N. ^{[3
]}

机构：

[1] Valahia Univ Targoviste, Dept Math, Targoviste 130024, Romania

[2] Valahia Univ Targoviste, Dept Math, Targoviste 130024, Romania

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

关键词：

FIXED-POINT THEOREMS; EQUATIONS; KRASNOSELSKII; SPACES;

D O I：

10.1155/2013/902563

中图分类号：

学科分类号：

摘要：

In this paper we study semilinear equations of the form Au + lambda F(u) = f, where A is a linear self-adjoint operator, satisfying a strong positivity condition, and F is a nonlinear Lipschitz operator. As applications we develop Krasnoselskii and Ky Fan type approximation results for certain pair of maps and to illustrate the usability of the obtained results, the existence of solution of an integral equation is provided.

引用

页数：6

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