Common fixed point theorems for sequences of mappings with some weaker conditions

	Common fixed point theorems for sequences of mappings with some weaker conditions
Iranian Journal of Science
مقاله 12، دوره 36، Issue 3.1، آذر 2012، صفحه 411-416 اصل مقاله (70.24 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2012.2094
نویسنده
Kh. Abd-Rabou^*
Department of Mathematics, Faculty of Science, Zagazig University, Egypt Department of Mathematics, Community College, Shaqra University, Al-qawwiya, K. S. A
چکیده
In this paper, we prove a common fixed point theorem for six mappings (two set valued and four single valued mappings) without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorem, we use a non compatible condition, that is, weak commutativity of type (KB). We show that completeness of the whole space is not necessary for the existence and uniqueness of common fixed point, and give an example to support our theorem. Also, we prove a common fixed point theorem for two self mappings and two sequences set-valued mappings by the same weaker conditions. Our results improve, extend and generalizes the corresponding results given by many authors.
کلیدواژه‌ها
common fixed point؛ single and set-valued mappings؛ weak commutativity of type (KB)

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