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 -