Contractive gauge functions in strongly orthogonal metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 8، شماره 2، 2017، صفحه 23-28 اصل مقاله (321.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.452 | ||
| نویسندگان | ||
| Maryam Ramezani* 1؛ Hamid Baghani2 | ||
| 1Department of Mathematics, Faculty of Mathematics, University of Bojnord, Bojnord, Iran | ||
| 2Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran | ||
| چکیده | ||
| Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theorem is a real generalization of these fixed point theorems. | ||
| کلیدواژهها | ||
| strongly orthogonal set؛ Fixed point؛ gauge function | ||
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