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Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 8، شماره 2، اسفند 2017، صفحه 145-158 اصل مقاله (378.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.521 | ||
| نویسندگان | ||
| Fayyaz Rouzkard* 1؛ Mohammad Imdad2 | ||
| 1Farhangian University, Shariati Pardis, Sari, Mazandaran Iran | ||
| 2Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India | ||
| تاریخ دریافت: 03 آذر 1394، تاریخ بازنگری: 14 شهریور 1395، تاریخ پذیرش: 18 آذر 1395 | ||
| چکیده | ||
| In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results. | ||
| کلیدواژهها | ||
| Common fixed point؛ Contractive type mapping؛ coupled coincidence point؛ coupled point of coincidence؛ Complex valued metric space | ||
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