On Tripled Fixed Point Theorems via Measure of Noncompactness with Applications to a System of Fractional Integral Equations

被引：5

作者：

Parvaneh, Vahid ^{[1
]}

Banaei, Shahram ^{[2
]}

Roshan, Jamal R. ^{[3
]}

Mursaleen, M. ^{[4
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Bonab Branch, Bonab, Iran

[3] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran

[4] China Med Univ Taiwan, China Med Univ Hosp, Dept Media Al Res, Taichung, Taiwan

来源：

FILOMAT | 2021年 / 35卷 / 14期

关键词：

Fixed point; measure of noncompactness; tripled fixed point; integral equations; CONTRACTIVE TYPE MAPPINGS; COINCIDENCE THEOREMS; INFINITE SYSTEM; SOLVABILITY;

D O I：

10.2298/FIL2114897P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an extension of Darbo's fixed point theorem via the concept of operators A(f;.) and theta-omega-contractions in a Banach space has been presented. We illustrate that some conditions of control functions theta and omega can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.

引用

页码：4897 / 4915

页数：19

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