TY - JOUR
ID - 218
TI - Common fixed points of f-weak contractions in cone metric spaces
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Sintunavarat, Wultipol
AU - Kumam, Poom
AD - King Mongkut's University of Technology Thonburi (KMUTT)
Y1 - 2012
PY - 2012
VL - 38
IS - 2
SP - 293
EP - 303
KW - Cone metric spaces
KW - Weak contraction
KW - f-weak
contraction
KW - coincidence point
KW - common fixed point
DO -
N2 - Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and also establish a coincidence and common fixed point result for $f$-weak contractions in cone metric spaces. Our result is supported by an example which include and generalize the results of Choudhury and Metiya's work.
UR - http://bims.iranjournals.ir/article_218.html
L1 - http://bims.iranjournals.ir/article_218_d595625aa45af7f415864e2b1458807a.pdf
ER -