On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory

被引：38

作者：

Alharbi, Areej S. S. ^{[1
]}

Alsulami, Hamed H. ^{[1
]}

Karapinar, Erdal ^{[2
,3
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21491, Saudi Arabia

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

[3] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

D O I：

10.1155/2017/2068163

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.

引用

页数：7

共 17 条

[1] Ciric Type Nonunique Fixed Point Theorems on b-Metric Spaces
Alsulami, Hamed H.
Karapinar, Erdal
Rakocevic, Vladimir
[J]. FILOMAT, 2017, 31 (11) : 3147 - 3156
[2] A Proposal to the Study of Contractions in Quasi-Metric Spaces
Alsulami, Hamed H.
Karapinar, Erdal
Khojasteh, Farshid
Roldan-Lopez-de-Hierro, Antonio-Francisco
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[3] Argoubi H, 2015, J NONLINEAR SCI APPL, V8, P1082
[4] Berinde V., 1993, SEMIN FIXED POINT TH, V3, P3
[5] Berinde V., 1996, MATHEMATICA, V41, P23
[6] Ulam-Hyers Stability Results for Fixed Point Problems via α-ψ-Contractive Mapping in (b)-Metric Space
Bota, Monica-Felicia
Karapinar, Erdal
Mlesnite, Oana
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[7] A note on "Some results on multi-valued weakly Jungck mappings in b-metric space"
Bota, Monica-Felicia
Karapinar, Erdal
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (09): : 1711 - 1712
[8] Czerwik S., 1993, Acta Math. Univ. Ostrav., V1, P5
[9] Karapinar E., 2016, Filomat, V30, P2343
[10] Some extensions for Geragthy type contractive mappings
Karapinar, Erdal
Alsulami, Hamed H.
Noorwali, Maha
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,

← 1 2 →