ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA

被引：0

作者：

Ozturk, Mahpeyker ^{[1
]}

Basarir, Metin ^{[1
]}

机构：

[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2012年 / 41卷 / 02期

关键词：

Fixed point; Cone metric space; Metric space; Rational expression; Weak commutativity; Banach Algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we have defined a new space called a BA-cone metric space by taking a Banach algebra instead of a Banach space. Some common fixed point theorems involving rational expressions have been proved and some consequences obtained in these spaces. Also we have extended this work to four mappings with a weak commutativity property in BA-cone metric spaces.

引用

页码：211 / 222

页数：12

共 50 条

[41] Bipolar metric spaces and some fixed point theorems
Mutlu, Ali
Gurdal, Utku
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (09): : 5362 - 5373
[42] Fixed point and common fixed point results in ordered cone metric spaces
Choudhury, Binayak S.
Metiya, N.
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 55 - 71
[43] Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
Cho, Seong-Hoon
Bae, Jong-Sook
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 945 - 951
[44] Some fixed and coincidence point theorems for expansive maps in cone metric spaces
Shatanawi, Wasfi
Awawdeh, Fadi
FIXED POINT THEORY AND APPLICATIONS, 2012,
[45] Some fixed and coincidence point theorems for expansive maps in cone metric spaces
Wasfi Shatanawi
Fadi Awawdeh
Fixed Point Theory and Applications, 2012
[46] Some Fixed Point Theorems in Extended Cone b-Metric Spaces
Das, Abhishikta
Bag, T.
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (02): : 647 - 659
[47] ORTHOGONAL CONE METRIC SPACES WITH BANACH ALGEBRAS AND FIXED POINT THEOREMS OF GENERALIZED LIPSCHITZ MAPPINGS
Rashid, M. H. M.
Noushida, P. P.
Kumar, V. Anil
Prasad, T.
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 16 (02): : 285 - 307
[48] The existence of fixed and periodic point theorems in cone metric type spaces
Kumam, Poom
Rahimi, Hamidreza
Rad, Ghasem Soleimani
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (04): : 255 - 263
[49] Fixed point theorems for convex contraction mappings on cone metric spaces
Alghamdi, Mohammad A.
Alnafei, Shahrazad H.
Radenovic, Stojan
Shahzad, Naseer
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 2020 - 2026
[50] DOUBLE CONTROLLED CONE METRIC SPACES AND THE RELATED FIXED POINT THEOREMS
Shateri, Tayebeh Lal
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2023, 30 (01): : 1 - 13

← 1 2 3 4 5 →