An extension of Darbo's theorem and its application to existence of solution for a system of integral equations
In this paper, we extend Darbo's fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained r...
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| Veröffentlicht in: | Cogent mathematics & statistics 2019-01, Vol.6 (1), p.1614319 |
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| creator | Banaei, Shahram |
| description | In this paper, we extend Darbo's fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations. |
| doi_str_mv | 10.1080/25742558.2019.1614319 |
| format | Article |
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| ispartof | Cogent mathematics & statistics, 2019-01, Vol.6 (1), p.1614319 |
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| source | Taylor & Francis Open Access; Alma/SFX Local Collection |
| subjects | fixed point theorem integral equations measure of noncompactness |
| title | An extension of Darbo's theorem and its application to existence of solution for a system of integral equations |
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