A Cone Measure of Noncompactness and Some Generalizations of Darbo's Theorem with Applications to Functional Integral Equations

被引：5

作者：

Jleli, Mohamed ^{[1
]}

Mursaleen, Mohammad ^{[2
]}

Sadarangani, Kishin ^{[3
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[3] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain

来源：

JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷

关键词：

FIXED-POINT THEOREM; MONOTONIC SOLUTIONS;

D O I：

10.1155/2016/9896502

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo's theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result.

引用

页数：11

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