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Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 6، دوره 11، شماره 1، تیر 2020، صفحه 55-66 اصل مقاله (332.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.3676 | ||
| نویسندگان | ||
| Wei-Shih Du1؛ Th.M. Rassias* 2 | ||
| 1Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan | ||
| 2Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece | ||
| تاریخ دریافت: 21 اسفند 1397، تاریخ بازنگری: 22 مهر 1398، تاریخ پذیرش: 22 آبان 1398 | ||
| چکیده | ||
| In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained. | ||
| کلیدواژهها | ||
| Simultaneous generalization؛ Banach's type contraction؛ Kannan's type contraction؛ Chatterjea's type contraction؛ Meir-Keeler's type contraction؛ Banach contraction principle؛ Kannan's fixed point theorem؛ Chatterjea's fixed point theorem؛ Meir-Keeler's fixed point theorem | ||
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