Fixed Point Results in Orthogonal Modular Metric Spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 11، شماره 2، اسفند 2020، صفحه 425-436 اصل مقاله (156.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4615 | ||
| نویسندگان | ||
| Hoda Hosseini1؛ Madjid Eshaghi Gordji* 2 | ||
| 1Departmant of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| 2Department of Mathematics, Faculty of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran | ||
| چکیده | ||
| First we generalize the notion of O-sets and then we establish some fixed point theorems for Banach’s contraction and Suzuki type Θ-contraction in the setting of orthogonal modular metric spaces. The obtained results extend, generalize and improve many fixed point results given by some authors in the literature. Some examples are furnished to demonstrate the validity of these results. | ||
| کلیدواژهها | ||
| Banach’s contraction؛ Suzuki type Θ-contraction؛ orthogonal modular metric space | ||
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