Fixed point theorem for $F$-contraction mappings in partial symmetric space with some applications to chemical reactor integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 14، شماره 10، دی 2023، صفحه 345-360 اصل مقاله (457.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26881.3439 | ||
| نویسندگان | ||
| Lucas Wangwe1؛ Santosh Kumar* 2 | ||
| 1Department of Mathematics, College of Science and Technical Education, Mbeya University of Science and Technology, Tanzania | ||
| 2Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania | ||
| چکیده | ||
| This paper proves a fixed point theorem for F-contraction mappings in partial symmetric spaces. In doing so, we extended and generalized the results in the literature by employing a rational-type contraction condition. We also provided an illustrative example to support the results. Finally, we demonstrate the results by the applications to Volterra integral equation inclusion and chemical reactor integral equations. | ||
| کلیدواژهها | ||
| Fixed point؛ partial symmetric space؛ F-contraction mapping؛ integral equation | ||
| مراجع | ||
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