Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

	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
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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