Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions

被引：34

作者：

Ansari, Arslan Hojat ^{[1
]}

Chandok, Sumit ^{[2
]}

Ionescu, Cristiana ^{[3
]}

机构：

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

[2] Punjab Tech Univ, Khalsa Coll Engn & Technol, Dept Math, Amritsar 143001, Punjab, India

[3] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

fixed point; b-metric space; sequentially convergent mappings; T-CHATTERJEA; MAPPINGS;

D O I：

10.1186/1029-242X-2014-429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some fixed point results for generalized weakly contractive mappings with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corresponding well-known results of the literature. Some examples are also provided in order to show that these results are more general than the well-known results existing in literature.

引用

页数：17

共 50 条

[1] Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions
Arslan Hojat Ansari
Sumit Chandok
Cristiana Ionescu
Journal of Inequalities and Applications, 2014
[2] The class of -type contractions in b-metric spaces and fixed point theorems
Samet, Bessem
FIXED POINT THEORY AND APPLICATIONS, 2015,
[3] A COMMON FIXED POINT FOR WEAK φ-CONTRACTIONS ON b-METRIC SPACES
Aydi, Hassen
Bota, Monica-Felicia
Karapinar, Erdal
Moradi, Sirous
FIXED POINT THEORY, 2012, 13 (02): : 337 - 346
[4] FIXED POINT THEOREMS FOR CYCLIC CONTRACTIONS IN B-METRIC
George, R.
Reshma, K. P.
Padmavati, A.
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2015,
[5] Coupled fixed points theorems for generalized weak contractions in ordered b-metric spaces
Kalyani, Karusala
Rao, Namana Seshagiri
Mishra, Lakshmi Narayan
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (03)
[6] Fixed point results of (φ,ψ)-weak contractions in ordered b-metric spaces
Rao, N. Seshagiri
Kalyani, K.
CUBO-A MATHEMATICAL JOURNAL, 2022, 24 (02): : 343 - 368
[7] Partial b-Metric Spaces and Fixed Point Theorems
Shukla, Satish
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (02) : 703 - 711
[8] FIXED POINT THEOREMS FOR GENERALIZED (αη)EB -CONTRACTIONS IN EXTENDED B-METRIC SPACES WITH APPLICATIONS
Alasmari, Maryam F. S.
Abdou, Afrah A. N.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 12 (04): : 15 - 31
[9] Partial b-Metric Spaces and Fixed Point Theorems
Satish Shukla
Mediterranean Journal of Mathematics, 2014, 11 : 703 - 711
[10] FIXED POINT THEOREMS FOR CIRIC'S AND GENERALIZED CONTRACTIONS IN b-METRIC SPACES
Sarwar, Muhammad
Rahman, Mujeeb Ur
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 70 - 78

← 1 2 3 4 5 →