Rectangular Metric-Like Type Spaces and Related Fixed Points

被引：19

作者：

Mlaiki, N. ^{[1
]}

Abodayeh, K. ^{[1
]}

Aydi, H. ^{[2
]}

Abdeljawad, T. ^{[1
]}

Abuloha, M. ^{[3
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[2] Imam Abdulrahman Bin Faisal Univ, Coll Educ Jubail, Dept Math, PO 12020, Ind Jubail 31961, Saudi Arabia

[3] Palestine Tech Univ, Tulkarem, State Of Palest, Palestine

来源：

JOURNAL OF MATHEMATICS | 2018年 / 2018卷

关键词：

IMPLICIT CONTRACTIONS; THEOREM;

D O I：

10.1155/2018/3581768

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.

引用

页数：7

共 17 条

[1]

Abdeljawad T, 2015, J COMPUT ANAL APPL, V19, P883

[2]

Abdeljawad T, 2012, J COMPUT ANAL APPL, V14, P484

[3]

Abodayeh K, 2016, J MATH ANAL, V7, P1

[4] Metric-like spaces, partial metric spaces and fixed points [J].

Amini-Harandi, A. .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[5] New extension of p-metric spaces with some fixed-point results on M-metric spaces [J].

Asadi, Mehdi ;

Karapinar, Erdal ;

Salimi, Peyman .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[6]

Aydi H, 2016, NONLINEAR ANAL-MODEL, V21, P40, DOI 10.15388/NA.2016.1.3

[7]

Aydi H, 2015, RACSAM REV R ACAD A, V109, P367, DOI 10.1007/s13398-014-0187-1

[8] A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].

Aydi, Hassen ;

Bota, Monica-Felicia ;

Karapinar, Erdal ;

Mitrovic, Slobodanka .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[9] Fixed points for generalized (α, ψ)-contractions on generalized metric spaces [J].

Aydi, Hassen ;

Karapinar, Erdal ;

Samet, Bessem .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[10] Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces [J].

Aydi, Hassen ;

Abbas, Mujahid ;

Vetro, Calogero .

TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (14) :3234-3242

← 1 2 →