On Best Proximity Points under the P-Property on Partially Ordered Metric Spaces

被引：10

作者：

Jleli, Mohamed ^{[1
]}

Karapinar, Erdal ^{[2
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

D O I：

10.1155/2013/150970

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the P-property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the P-property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.

引用

页数：6

共 50 条

[1] Best Proximity Point Theorems Without The P-Property for New Generalized Weakly Contraction Mappings in Partially Ordered Metric Spaces
Ninsri, Aphinat
Sintunavarat, Wutiphol
THAI JOURNAL OF MATHEMATICS, 2018, 16 : 220 - 233
[2] Best proximity points: approximation and optimization in partially ordered metric spaces
Pragadeeswarar, V.
Marudai, M.
OPTIMIZATION LETTERS, 2013, 7 (08) : 1883 - 1892
[3] NOTE ON THE EXISTENCE OF BEST PROXIMITY POINTS IN PARTIALLY ORDERED METRIC SPACES
Liu, Huahua
Hong, Shihuang
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (08) : 1331 - 1353
[4] Best proximity points: approximation and optimization in partially ordered metric spaces
V. Pragadeeswarar
M. Marudai
Optimization Letters, 2013, 7 : 1883 - 1892
[5] Best proximity points of discontinuous operator in partially ordered metric spaces
Choudhury, B. S.
Jleli, M.
Maity, P.
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 308 - 315
[6] The existence of best proximity points with the weak P-property
Tomonari Suzuki
Fixed Point Theory and Applications, 2013
[7] The existence of best proximity points with the weak P-property
Suzuki, Tomonari
FIXED POINT THEORY AND APPLICATIONS, 2013,
[8] Coupled best proximity points in ordered metric spaces
Kumam, P.
Pragadeeswarar, V.
Marudai, M.
Sitthithakerngkiet, K.
FIXED POINT THEORY AND APPLICATIONS, 2014,
[9] Coupled best proximity points in ordered metric spaces
P Kumam
V Pragadeeswarar
M Marudai
K Sitthithakerngkiet
Fixed Point Theory and Applications, 2014
[10] Best proximity points for generalized proximal weak contractions in partially ordered metric spaces
Pragadeeswarar, V.
Marudai, M.
OPTIMIZATION LETTERS, 2015, 9 (01) : 105 - 118

← 1 2 3 4 5 →