TY - JOUR ID - 2094 TI - Common fixed point theorems for sequences of mappings with some weaker conditions JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - Abd-Rabou, Kh. AD - Department of Mathematics, Faculty of Science, Zagazig University, Egypt Department of Mathematics, Community College, Shaqra University, Al-qawwiya, K. S. A Y1 - 2012 PY - 2012 VL - 36 IS - Issue 3.1 SP - 411 EP - 416 KW - common fixed point KW - single and set-valued mappings KW - weak commutativity of type (KB) DO - 10.22099/ijsts.2012.2094 N2 - 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. UR - https://ijsts.shirazu.ac.ir/article_2094.html L1 - https://ijsts.shirazu.ac.ir/article_2094_660d64be0d7f9e54361e77aa36b88c32.pdf ER -