Solution and stability of a fixed point problem for mappings without continuity | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 169، دوره 13، شماره 2، مهر 2022، صفحه 2109-2119 اصل مقاله (406.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21698.2287 | ||
| نویسندگان | ||
| Binayak S Choudhury1؛ Priyam Chakraborty* 1؛ Amaresh Kundu2 | ||
| 1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India | ||
| 2Department of Mathematics, Chanchal College, Chanchal, Malda- 732123, West Bengal, India | ||
| چکیده | ||
| In this paper by taking into account three trends prevalent in metric fixed point theory, namely, use of control functions instead of contraction constants, consideration of relational structure in the metric space and fixed point studies of discontinuous functions, we formulate and solve a new problem in relational metric fixed point theory. Our result extends the well known result of Kannan. The theorems are illustrated with examples. Further the proble is shown to have Hyers-Ulam-Rassias stability property. We make an application of our main result to a problem of a nonlinear integral equation. | ||
| کلیدواژهها | ||
| Kannan type mapping؛ Geraghty type mapping؛ binary relation؛ Hyers-UlamRassias stability؛ integral equation | ||
| مراجع | ||
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