Some discussion on generalizations of metric spaces in fixed point perspective | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 148، دوره 14، شماره 1، فروردین 2023، صفحه 1891-1901 اصل مقاله (403.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26019.3192 | ||
| نویسندگان | ||
| Jayesh Savaliya* 1؛ Dhananjay Gopal2؛ Shailesh Kumar Srivastava1 | ||
| 1Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat-395007, India | ||
| 2Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh-495009, India | ||
| چکیده | ||
| The motive of this paper is to provide an understanding of the role of generalizations of metric spaces in a fixed point perspective. For this purpose, the concept of the pseudo non-triangular metric is introduced. Further, we study and analyze the structure of open sets, closed sets, and other topological properties of the new metric. Then, we compare it with JS-metric, strong JS-metric as well as non-triangular metric and observe that pseudo non-triangular metric becomes the bare minimum metric structure required to prove a new fixed point theorem for contractive type mappings. Finally, we establish the Caristi type fixed point theorem, which generalizes some well-known results, including recent developments by Karapinar et al. [15]. | ||
| کلیدواژهها | ||
| Pseudo non-triangular metric؛ Non-triangular metric؛ Fixed Point؛ Caristi-type contractive map | ||
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