Fixed point results for C-class functions in modular metric spaces

被引：6

作者：

Ansari, Arslan Hojat ^{[1
]}

Demma, Marta ^{[2
]}

Guran, Liliana ^{[3
]}

Lee, Jung Rye ^{[4
]}

Park, Choonkil ^{[5
]}

机构：

[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran

[2] Univ Palermo, Palermo, Italy

[3] Vasile Goldis Western Univ Arad, Fac Pharm, Dept Pharmaceut Sci, Arad 310025, Romania

[4] Daejin Univ, Dept Math, Kyunggi 11159, South Korea

[5] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 03期

关键词：

C-class function; modular metric space; fixed point; THEOREMS; MAPPINGS;

D O I：

10.1007/s11784-018-0580-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Paknazar et al. (J Nonlinear Sci Appl, in press) introduced the notion of non-Archimedean modular metric space and gave some results of existence of fixed point. Motivated from the paper, we establish some theorems of fixed point using the notion of C-class in the setting of different modular metric spaces. Moreover, we present an example to illustrate the usability of the obtained results on non-Archimedean modular metric spaces.

引用

页数：19

共 36 条

[1] Fixed point results of pointwise contractions in modular metric spaces
Abdou, Afrah A. N.
Khamsi, Mohamed A.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] On the fixed points of nonexpansive mappings in modular metric spaces
Abdou, Afrah A. N.
Khamsi, Mohamed A.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[3] [Anonymous], 1950, Modulared Semi-Ordered Linear Spaces
[4] Ansari A. H., 2014, P 2 REG C MATH APPL, P377, DOI DOI 10.2298/FIL1403635A
[5] Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions
Ansari, Arslan Hojat
Chandok, Sumit
Ionescu, Cristiana
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[6] Integral type contractions in modular metric spaces
Azadifar, Bahareh
Sadeghi, Ghadir
Saadati, Reza
Park, Choonkil
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[7] Modular metric spaces, II: Application to superposition operators
Chistyakov, Vyacheslav V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 15 - 30
[8] Modular metric spaces, I: Basic concepts
Chistyakov, Vyacheslav V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 1 - 14
[9] Coupled hybrid fixed point theory involving the sum and product of three coupled operators in a partially ordered Banach algebra with applications
Dhage, Bapurao C.
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 3231 - 3264
[10] Fadail ZM., 2015, Appl. Math. Sci, V9, P4109

← 1 2 3 4 →