Integral type contractions in modular metric spaces

被引：18

作者：

Azadifar, Bahareh ^{[1
]}

Sadeghi, Ghadir ^{[1
]}

Saadati, Reza ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

modular metric space; compatible maps; contractive inequality of integral type; fixed point; FIXED-POINT THEOREMS; MAPPINGS;

D O I：

10.1186/1029-242X-2013-483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of a common fixed point of compatible mappings of integral type in modular metric spaces.

引用

页数：14

共 14 条

[1] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[2] Modular metric spaces, I: Basic concepts
Chistyakov, Vyacheslav V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 1 - 14
[3] Hewitt E., 1978, Real and Abstract Analysis
[4] COMMUTING MAPPINGS AND FIXED-POINTS
JUNGCK, G
[J]. AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) : 261 - 263
[5] Jungck G., 1986, Int. J. Math. Sci., V9, P771, DOI DOI 10.1155/S0161171286000935
[6] Kaneko H., 1989, Int. J. Math. Math. Sci., V12, P257, DOI 10.1155/S0161171289000293
[7] Fixed point theorems for mappings satisfying contractive conditions of integral type and applications
Liu, Zeqing
Li, Xin
Kang, Shin Min
Cho, Sun Young
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 18
[8] Razani A, 2009, B IRAN MATH SOC, V35, P11
[9] Berinde mappings in orbitally complete metric spaces
Samet, Bessem
Vetro, Calogero
[J]. CHAOS SOLITONS & FRACTALS, 2011, 44 (12) : 1075 - 1079
[10] An Integral Version of A†iriA‡'s Fixed Point Theorem
Samet, Bessem
Vetro, Calogero
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (01) : 225 - 238