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Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1299-1315 اصل مقاله (446.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22582.2388 | ||
| نویسندگان | ||
| Maibam Ranjit Singh1؛ Thangjam Bimol Singh* 2؛ Yumnam Mahendra Singh3 | ||
| 1Department of Mathematics, Manipur, 795003, Manipur University, Canchipur Imphal, India | ||
| 2MU, Department of Mathematics, Manipur, 795003 Manipur University, Canchipur, Manipur, India. | ||
| 3Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795004, Manipur, India | ||
| تاریخ دریافت: 17 بهمن 1399، تاریخ بازنگری: 23 فروردین 1400، تاریخ پذیرش: 08 خرداد 1400 | ||
| چکیده | ||
| In this paper, we discuss some common fixed point theorems for compatible mappings of type $(E)$ and $R-$weakly commuting mappings of type $(P)$ of a complete $b-$multiplicative metric space along with some examples. As an application, we establish an existence and uniqueness theorem for a solution of a system of multiplicative integral equations. In the last section, we introduce the concept of $R-$multiplicative metric space by giving some examples and at the end of the section, we give an open question. | ||
| کلیدواژه‌ها | ||
| compatible mappings of type (E)؛ R-weakly commuting mappings of type (P)؛ multiplicative metric space؛ b-multiplicative metric space؛ common fixed points؛ compatible mapping؛ R-multiplicative metric space؛ orthogonal set | ||
| مراجع | ||
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