Author:
He Xiaoju,Song Meimei,Chen Danping
Abstract
Abstract
In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality:
d
(
S
x
,
T
y
)
≤
{
max
{
d
(
A
x
,
B
y
)
,
d
(
A
x
,
S
x
)
,
d
(
B
y
,
T
y
)
,
d
(
S
x
,
B
y
)
,
d
(
A
x
,
T
y
)
}
}
λ
, where A and S are weak commutative, B and T also are weak commutative. Our results substantially generalize and extend the results of Özavsar and Cevikel (Fixed point of multiplicative contraction mappings on multiplicative metric space).
MSC:46B20, 47A12.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference7 articles.
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2. Gu F, Cui L-m, Wu Y-h: Some fixed point theorems for new contractive type mappings. J. Qiqihar Univ. 2003, 19: 85–89.
3. Singxi SL, Tiwari BML, Gupta VK: Common fixed points of commuting mappings in 2-metric spaces and an application. Math. Nachr. 1980, 96: 293–297. 10.1002/mana.19800960122
4. Sastry KPR, Naidu GA, Sharma KKM, Laxmi Gayatri I: Common fixed point for compatible mappings on 2-metric spaces. Glob. J. Math. Sci., Theory Pract. 2010, 2(3):173–179.
5. Agarwal RP, El-Gebily MA, O’Regan D: Generalized contractions in partially ordered metric spaces. Appl. Anal. 2008, 87: 109–116. 10.1080/00036810701556151
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