Common fixed point theorems under rational contractions in complex valued extended b-metric spaces

被引：11

作者：

Raj, Carmel Pushpa J. ^{[1
]}

Xavier, Arul A. ^{[1
]}

Joseph, Maria J. ^{[1
]}

Marudai, M. ^{[2
]}

机构：

[1] St Josephs Coll Autonomous, Dept Math, Tiruchirappalli 620002, Tamil Nadu, India

[2] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 01期

关键词：

Complex valued extended b-metric space; Rational contraction; Common fixed point;

D O I：

10.22075/ijnaa.2020.20025.2118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence and uniqueness of fixed point and common fixed point theorems in complex valued extended b-metric space for a pair of mappings satisfying some rational contraction conditions which generalize and unify some well known results in the literature.

引用

页码：3479 / 3490

页数：12

共 16 条

[1] COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES
Azam, Akbar
Fisher, Brian
Khan, M.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) : 243 - 253
[2] Bakhtin I.A., 1989, FUNCTIONAL ANAL, V30, P26, DOI DOI 10.1039/AP9892600037
[3] Banach S., 1922, Fund. Math, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
[4] Boriceanu M, 2009, STUD U BABES-BOL MAT, V54, P3
[5] Czerwik S., 1998, ATTI SEM MATH FIS U, V46, P263, DOI DOI 10.4236/APM.2012.21002
[6] Complex Valued b-Metric Spaces and Common Fixed Point Theorems under Rational Contractions
Dubey, Anil Kumar
[J]. JOURNAL OF COMPLEX ANALYSIS, 2016,
[7] Cone metric spaces and fixed point theorems of contractive mappings
Huang Long-Guang
Zhang Xian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1468 - 1476
[8] Fixed point theorems on multi valued mappings in b-metric spaces
Joseph, J. Maria
Roselin, D. Dayana
Marudai, M.
[J]. SPRINGERPLUS, 2016, 5 : 1 - 8
[9] A Generalization of b-Metric Space and Some Fixed Point Theorems
Kamran, Tayyab
Samreen, Maria
Ain, Qurat U. L.
[J]. MATHEMATICS, 2017, 5 (02):
[10] Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
Mukheimer, Aiman A.
[J]. SCIENTIFIC WORLD JOURNAL, 2014,

← 1 2 →