A generalization of Darbo’s theorem with application to the solvability of systems of integral equations
In this paper, we give an extension of Darbo’s fixed point theorem associated with measures of noncompactness, and present some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. Moreover, as an application, we study the problem of existence of sol...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2014-04, Vol.260, p.68-77 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Aghajani, A. Allahyari, R. Mursaleen, M. |
| description | In this paper, we give an extension of Darbo’s fixed point theorem associated with measures of noncompactness, and present some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. Moreover, as an application, we study the problem of existence of solutions for a general system of nonlinear integral equations. |
| doi_str_mv | 10.1016/j.cam.2013.09.039 |
| format | Article |
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| ispartof | Journal of computational and applied mathematics, 2014-04, Vol.260, p.68-77 |
| issn | 0377-0427 1879-1778 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | Banach space Condensing Coupled fixed point Integral equations Joining Mathematical models Measure of noncompactness Modulus of continuity Nonlinearity Operators (mathematics) System of integral equations Theorems |
| title | A generalization of Darbo’s theorem with application to the solvability of systems of integral equations |
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