Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 28، دوره 8، شماره 1، 2017، صفحه 337-351 اصل مقاله (407.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1355.1334 | ||
| نویسندگان | ||
| Reza Allahyari* 1؛ Asadollah Aghajani2 | ||
| 1Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran | ||
| 2School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran | ||
| چکیده | ||
| In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result. | ||
| کلیدواژهها | ||
| Measure of noncompactness؛ Quadratic integral equation؛ Darbo fixed point theorem | ||
|
آمار تعداد مشاهده مقاله: 16,105 تعداد دریافت فایل اصل مقاله: 11,693 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 718 |
| تعداد مقالات | 10,319 |
| تعداد مشاهده مقاله | 72,317,421 |
| تعداد دریافت فایل اصل مقاله | 64,041,782 |