Some generalizations of Darbo fixed point theorem and its application
Recently, B. Samet et al. (Fixed Point Theory and Appl. 2013:5, 2013, doi:10.1186/1687-1812-2013-5) has introduced the concept of new contraction mappings and obtained results on the fixed point for nonlinear contractive mappings in a metric space. In the present paper, we introduce the concept of a...
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| Veröffentlicht in: | Mathematical notes (Miskolci Egyetem (Hungary)) 2017, Vol.18 (2), p.595-610 |
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| container_title | Mathematical notes (Miskolci Egyetem (Hungary)) |
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| creator | Arab, R. |
| description | Recently, B. Samet et al. (Fixed Point Theory and Appl. 2013:5, 2013, doi:10.1186/1687-1812-2013-5) has introduced the concept of new contraction mappings and obtained results on the fixed point for nonlinear contractive mappings in a metric space. In the present paper, we introduce the concept of a new contraction via the measure of non-compactness on a Banach space, we obtain a few generalizations of Darbo fixed point theorem and extend some recent results of Aghajani et al. We also show the applicability of obtained results to the theory of integral equations. |
| doi_str_mv | 10.18514/MMN.2017.1202 |
| format | Article |
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Samet et al. (Fixed Point Theory and Appl. 2013:5, 2013, doi:10.1186/1687-1812-2013-5) has introduced the concept of new contraction mappings and obtained results on the fixed point for nonlinear contractive mappings in a metric space. In the present paper, we introduce the concept of a new contraction via the measure of non-compactness on a Banach space, we obtain a few generalizations of Darbo fixed point theorem and extend some recent results of Aghajani et al. 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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Banach spaces Estimating techniques Fixed points (mathematics) Integral equations Metric space Theorems |
| title | Some generalizations of Darbo fixed point theorem and its application |
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