FIXED POINTS FOR GENERALIZED ψ-CONTRACTIONS WITH APPLICATION TO INTEGRAL EQUATIONS

被引：0

作者：

Hussain, Nawab ^{[1
]}

Salimi, Peyman ^{[2
]}

机构：

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

[2] Sahand Univ Technol, Dept Math, Tabriz, Iran

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 04期

关键词：

alpha-admissible mappings; alpha psi(k)-admissible mappings; partially ordered metric spaces; integral equation; THEOREMS; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first introduce the concept of an alpha-{psi(k)}(1)(n)-admissible mapping which generalizes the notion of alpha-admissible mapping and establish the existence and uniqueness of fixed points for such mappings in complete metric spaces as well as in partially ordered metric spaces. The presented theorems generalize and improve many existing results in the literature. Moreover, some examples and an application to integral equations are provided to illustrate the usability of the obtained results.

引用

页码：711 / 729

页数：19

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