Measure of noncompactness and a generalized Darbo's fixed point theorem and its applications to a system of integral equations

被引：6

作者：

Parvaneh, Vahid ^{[1
]}

Khorshidi, Maryam ^{[2
]}

De La Sen, Manuel ^{[3
]}

Isik, Huseyin ^{[4
]}

Mursaleen, Mohammad ^{[5
,6
,7
]}

机构：

[1] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan E Gharb, Iran

[2] Firouzabad Inst Higher Educ, Dept Math, Firouzabad, Iran

[3] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia, Leioa 48080, Spain

[4] Mus Alparslan Univ, Dept Math, Mus, Turkey

[5] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[6] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

SOLVABILITY;

D O I：

10.1186/s13662-020-02703-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Isik et al. (Mathematics 7:862,2019) presented an interesting generalization of the Banach contraction principle. In this paper, motivated by Isik et al., we give a new extension of the well-known Darbo inequality in a Banach space. Our results provide several generalizations of the Darbo inequality. As an application, we study the existence of solutions for a system of functional integral equations inC[0,T]. Finally, we expose a genuine example to support the effectiveness of our results.

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页数：13

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