A FIXED POINT THEOREM ON CONE METRIC SPACES WITH NEW TYPE CONTRACTIVITY

被引：5

作者：

Altun, Ishak ^{[1
]}

Abbas, Mujahid ^{[2
]}

Simsek, Hakan ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[2] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2011年 / 5卷 / 02期

关键词：

Fixed point; cone metric space; integral type contraction; WEAKLY COMPATIBLE MAPPINGS; MAPS;

D O I：

10.15352/bjma/1313362998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, a common fixed point theorem for self maps on cone metric spaces is proved. Also two examples, which shows that our main theorem is generalized version of main theorems of [A. Branciari, Int. J. Math. Math. Sci., 29 (2002), no. 9, 531-536] and [L.G. Huang and X. Zhang, J. Math. Anal. Appl. 332 (2007), no. 2, 1468 1476], are given.

引用

页码：15 / 24

页数：10

共 50 条

[1] A new type of fixed point theorem in metric spaces
Suzuki, Tomonari
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5313 - 5317
[2] A FIXED POINT THEOREM FOR CORRESPONDENCES ON CONE METRIC SPACES
Ge, Xun
FIXED POINT THEORY, 2014, 15 (01): : 79 - 86
[3] A Common Fixed Point Theorem of a Gregus Type on Convex Cone Metric Spaces
Abdeljawad, Thabet
Karapinar, Erdal
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 609 - 621
[4] BANACH FIXED POINT THEOREM ON ORTHOGONAL CONE METRIC SPACES
Olia, Zeinab Eivazi Damirchi Darsi
Gordji, Madjid Eshaghi
Bagha, Davood Ebrahimi
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (05): : 1239 - 1250
[5] Fixed point theorem on two complete cone metric spaces
Huang X.
Zhu C.
Wen X.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (2) : 341 - 352
[6] A Fixed Point Theorem for Contractive Maps in Cone Metric Spaces
Kieu Phuong Chi
Truong Phuc Tuan Anh
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2014, 38 (03) : 333 - 340
[7] A NEW FIXED POINT THEOREM IN MODULAR METRIC SPACES
Mutlu, Ali
Ozkan, Kubra
Gurdal, Utku
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (04): : 472 - 483
[8] Chatterjea-Type Fixed Point Theorem on Cone Rectangular Metric Spaces with Banach Algebras
Auwalu, Abba
Denker, Ali
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020), 2021, 2325
[9] A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
Reny George
KP Reshma
R Rajagopalan
Fixed Point Theory and Applications, 2011
[10] A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
George, Reny
Reshma, K. P.
Rajagopalan, R.
FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 8

← 1 2 3 4 5 →