Generalized Cone Metric Space and Fixed Point Theorem

2010 ◽  
Vol 1 (2) ◽  
pp. 22
Author(s):  
Saleh Omran ◽  
Ahmed El-Sayed Ahmed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Cone Metric Space ◽  
Cone Metric

Fixed point theorem for quasi-contractive mapping in partial cone metric space

2014 ◽  
Vol 26 (5-6) ◽  
pp. 1153-1159 ◽  
Author(s):  
Wajdi Chaker ◽  
Abdelaziz Ghribi ◽  
Aref Jeribi ◽  
Bilel Krichen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Mapping ◽  
Cone Metric Space ◽  
Partial Cone ◽  
Cone Metric

scholarly journals Fixed point theorem between cone metric space and quasi-cone metric space

2022 ◽  
Vol 25 (1) ◽  
pp. 540
Author(s):  
Abdullah Al-Yaari ◽  
Hamzah Sakidin ◽  
Yousif Alyousifi ◽  
Qasem Al-Tashi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Research Results ◽  
Cone Metric

This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were compared with various types of continuities of mapping between two QCMSs. The continuity types are 𝒇𝒇-continuous, 𝒃𝒃-continuous, 𝒇𝒃-continuous, and 𝒃𝒇-continuous. The results demonstrated that the new notions of continuity could be generalized to the continuity of mapping between two QCMSs. It also showed a fixed point for this continuity map between a complete Hausdorff CMS and QCMS. Overall, this study supports recent research results.

scholarly journals A Fixed Point Theorem of the Hardy and Rogers Kind Endowed with Multiplicative Cone-C Class Functions

2019 ◽  
pp. 169-179
Author(s):  
Clement Boateng Ampadu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Contraction Mapping ◽  
Cone Metric Space ◽  
Open Problems ◽  
Cone Metric

In this paper we introduce the multiplicative version of cone-C class functions [1], and obtain some contraction mapping theorems of the Hardy and Rogers kind in multiplicative cone metric space endowed with such functions. Further, we propose some open problems that are publishable in nature.

scholarly journals A Common Fixed Point Theorem in a Cone Metric Space

1970 ◽  
Vol 5 (1) ◽  
pp. 1-5
Author(s):  
K Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Cone Metric Space ◽  
Key Words And Phrases ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem ◽  
Cone Metric

A common fixed point theorem for a pair of weakly compatible mappings is proved in a cone metric space which extends and improves various well-known similar results. Key words and phrases: Common fixed point; weakly compatible maps; cone metric space.2000 Mathematics Subject Classification: 54 H 25, 47 H 10. DOI: 10.3126/kuset.v5i1.2841 Kathmandu University Journal of Science, Engineering and Technology Vol.5, No.1, January 2009, pp 1-5

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