scholarly journals Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings

2010 ◽  
Vol 2010 (1) ◽  
pp. 315398 ◽  
Author(s):  
MohamedA Khamsi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

Generalized cone metric spaces and fixed point theorems of contractive mappings

2018 ◽  
Vol 13 (1) ◽  
pp. 1-8
Author(s):  
Zaryab Hussain ◽  
Shahid Hussain Arshad ◽  
Muhammad Arslan ◽  
Zohib Akram
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

scholarly journals Some Fixed Point Theorems of Contractive Mappings in P b r -Cone Metric Spaces over Banach Algebras

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Abba Auwalu ◽  
Evren Hinçal
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

In this paper, we introduce the concept of a P b r -cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.

scholarly journals Some results in cone metric spaces with applications in homotopy theory

2020 ◽  
Vol 18 (1) ◽  
pp. 295-306 ◽  
Author(s):  
Muhammad Nazam ◽  
Anam Arif ◽  
Hasan Mahmood ◽  
Choonkil Park
Keyword(s):  
Fixed Point ◽  
Homotopy Theory ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Self ◽  
Cone Metric Spaces ◽  
Implicit Relation ◽  
Contractive Mappings ◽  
Homotopy Result ◽  
Cone Metric

Abstract The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacău 7 (1997), 129–133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under some additional conditions. We obtain a homotopy result as an application.

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